Operator algebras, free groups and other groups
Recent advances in operator algebras - Orléans, 1992, Astérisque no. 232  (1995), p. 121-153
@incollection{AST_1995__232__121_0,
     author = {de la Harpe, Pierre},
     title = {Operator algebras, free groups and other groups},
     booktitle = {Recent advances in operator algebras - Orl\'eans, 1992},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {232},
     year = {1995},
     pages = {121-153},
     mrnumber = {1372530},
     zbl = {0846.46039},
     language = {en},
     url = {http://www.numdam.org/item/AST_1995__232__121_0}
}
de la Harpe, Pierre. Operator algebras, free groups and other groups, in Recent advances in operator algebras - Orléans, 1992, Astérisque, no. 232 (1995), pp. 121-153. http://www.numdam.org/item/AST_1995__232__121_0/

[Ake] C. A. Akemann, Operator Algebras Associated with Fuchsian Groups, Houston J. Math. 7 (1981), 295-301. | MR 640971 | Zbl 0484.22011

[ABH] J. Anderson, B. Blackadar and U. Haagerup, Minimal Projections in the Reduced Group C * -algebra of n m , J. Operator Theory 26 (1991), 3-23. | MR 1214917 | Zbl 0785.46050

[AkL] C. A. Akemann and Tan-Yu Lee, Some Simple C * -algebras Associated with Free Groups, Indiana Univ. Math. J. 29 (1980), 505-511. | Article | MR 578202 | Zbl 0439.46046

[AkO] C. A. Akemann and P. A. Ostrand, Computing Norms in Group C * -algebras, Amer. J. Math. 98 (1976), 1015-1047. | Article | MR 442698 | Zbl 0342.22008

[ASS] H. Araki, M. Smith and L. Smith, On the Homotopical Significance of the Type of von Neumann Algebra Factors, Commun. Math. Phys. 22 (1971), 71-88. | Article | MR 288587 | Zbl 0211.44004

[Bas] H. Bass, Euler Characteristics and Characters of Discrete Groups, Inventiones Math. 35 (1976), 155-196. | Article | MR 432781 | Zbl 0365.20008

[BaC] P. Baum and A. Connes, K -theory for Discrete Groups, Operator Algebras and Application, volume 1, edited by D.E. Evans and M. Takesaki, Cambridge Univ. Press (1988), 1-20. | Zbl 0685.46041

[Be1] E. Bédos, Simple C * -algebras and Discrete Groups, Math. Proc. Camb. Phil. Soc. 109 (1991), 521-537. | Article | MR 1094751 | Zbl 0725.22002

[Be2] E. Bédos, On the Uniqueness of the Trace on some Simple C * -algebras, J. Operator Theory (To appear). | MR 1302613 | Zbl 0817.46052

[BdH] E. Bédos et P. De La Harpe, Moyennabilité intérieure des groupes : définitions et exemples, l'Enseignement math. 32 (1986), 139-157. | MR 850556 | Zbl 0605.43002

[Beh1] H. Behncke, Automorphisms of crossed products, Tôhoku Math. J. 21 (1969), 580-600. | Article | MR 270163 | Zbl 0191.42701

[Beh2] H. Behncke, Generators of W * -algebras, Tôhoku Math. J. 22 (1970), 541-546. | Article | MR 438144 | Zbl 0214.38403

[Beh3] H. Behncke, Generators of Finite W * -algebras, Tôhoku Math. J. 24 (1972), 401-408. | Article | MR 326404 | Zbl 0242.46048

[BCH] M. Bekka, M. Cowling et P. De La Harpe, Some Groups whose Reduced C * -algebra is Simple, Preprint, New South Wales (January 1993). | Numdam | MR 1320606 | Zbl 0827.22001

[BkH] M. Bekka et P. De La Harpe, Représentations d'un groupe faiblement équivalentes à la représentation régulière, Bull. Soc. Math. France (to appear). | Numdam | MR 1294459 | Zbl 0824.22011

[BeV] M. Bekka and A. Valette, Lattices in Semi-simple Lie Groups, and Multipliers of Group C * -algebras, These Proceedings. | Zbl 0851.22006

[BeL] Y. Benoist and F. Labourie, Sur les difféomorphismes d'Anosov affines à feuilletages stable et instable différentiables, Inventiones Math. 111 (1993), 285-308. | Article | MR 1198811 | Zbl 0777.58029

[BN1] F. Boca and V. Nitica, Combinatorial Properties of Groups and Simple C * -algebras with a Unique Trace, J. Operator Theory 20 (1988), 183-196. | MR 972188 | Zbl 0698.46047

[BN2] F. Boca and V. Nitica, Extensions of Groups and Simple C * -algebras, in "Linear Operators in Function Spaces (Timisoara 1988)", edited by H. Helson et al., Birkhäuser (1990), 123-130. | Article | MR 1090121 | Zbl 0713.46038

[Bo1] A. Borel, Density Properties for Certain Subgroups of Semisimple Lie Groups Without Compact Factors, Ann. of Math. 72 (1960), 179-188. | Article | MR 123639 | Zbl 0094.24901

[Bo2] A. Borel, On Free Subgroups of Semi-Simple Groups, l'Enseignement math. 29 (1983), 151-164. | MR 702738 | Zbl 0533.22009

[Bou] N. Bourbaki, Algèbre, chapitres 4 à 7, Masson, 1981. | MR 643362 | Zbl 0498.12001

[Bro] L. G. Brown, Ext of Certain Free Product C * -algebras, J. Operator Theory 6 (1981), 135-141. | MR 637007 | Zbl 0501.46063

[BoP] M. Bozejko and M. A. Picardello, Weakly amenable groups and amalgamated products, Proc. Amer. Math. Soc. 117 (1993), 1039-1046. | Article | MR 1119263 | Zbl 0780.43002

[CaH] J. De Cannière and U. Haagerup, Multipliers of the Fourier Algebras of some Simple Lie Groups and their Discrete Subgroups, Amer. J. Math. 107 (1985),. 455-500. | Article | MR 784292 | Zbl 0577.43002

[Cha] C. Champetier, Propriétés génériques des groupes de type fini, Thesis, Lyon (1991).

[ChM] B. Chandler and W. Magnus, The History of Combinatorial Group Theory : a Case Study in the History of Ideas, Springer, 1982. | MR 680777 | Zbl 0498.20001

[Cho] M. D. Choi, The Full C * -algebra of the Free Group on Two Generators, Pacific J. Math. 87 (1980), 41-48. | Article | MR 590864 | Zbl 0463.46047

[Coh1] J. Cohen, C * -algebras without Idempotents, J. Functional Analysis 33 (1979), 211-216. | Article | MR 546507 | Zbl 0424.46043

[Coh2] J. Cohen, Cogrowth and Amenability or Discrete Groups, J. Functional Analysis 48 (1982), 301-309. | Article | MR 678175 | Zbl 0499.20023

[Co74] A. Connes, Almost Periodic States and Factors of Type III1, J. Functional Analysis 16 (1974), 415-445. | Article | MR 358374 | Zbl 0302.46050

[Co75] A. Connes, Sur la classification des facteurs de type II, C.R. Acad. Sci. Paris 281, Série A (1975), 13-15. | MR 377534 | Zbl 0304.46042

[Co76] A. Connes, Classification of Injective Factors, Ann. of Math. 104 (1976), 73-115. | MR 454659 | Zbl 0343.46042

[C76b] A. Connes, On the Classification of von Neumann Algebras and their Automorphisms, Symposia Math. XX (1976), 378-435. | MR 450988 | Zbl 0357.46062

[Co78] A. Connes, On the Cohomology of Operator Algebras, J. Functional Analysis 28 (1978), 248-253. | Article | MR 493383 | Zbl 0408.46042

[Co80] A. Connes, A factor of type II 1 with countable fundamental group, J. Operator Theory 4 (1980), 151-153. | MR 587372 | Zbl 0455.46056

[Co86] A. Connes, Non-commutative Differential Geometry, Part I, The Chern Character in K-homology, Part II, de Rham Homology and Non-commutative Algebra, Publ. Math. I.H.E.S. 62 (1986), 40-144. | Numdam | Zbl 0592.46056

[Co90] A. Connes, Géométrie non commutative, InterEditions, 1990. | MR 1079062 | Zbl 0745.46067

[Co93] A. Connes, Non Commutative Geometry, Preprint, IHES, 1993 (extended translation of [Co90]), and Academic Press, to appear. | Zbl 0933.46069

[CoJ] A. Connes and V. Jones, Property T for von Neumann Algebras, Bull. London Math. Soc. 17 (1985), 57-62. | Article | MR 766450 | Zbl 1190.46047

[CoM] A. Connes and H. Moscovici, Cyclic Cohomology, the Novikov Conjecture and Hyperbolic Groups, Topology 29 (1990), 345-388. | Article | MR 1066176 | Zbl 0759.58047

[Cw1] M. Cowling, The Kunze-Stein Phenomenon, Ann. of Math. 107 (1978), 209-234. | Article | MR 507240 | Zbl 0363.22007

[Cw2] M. Cowling, Sur les coefficients des représentations unitaires des groupes de Lie simples, in "Analyse harmonique sur les groupes de Lie II (Séminaire Nancy-Strasbourg 1976-68)" edited by P. Eymard et al., Springer Lecture Notes in Math. 739 (1979), 132-178. | MR 560837 | Zbl 0417.22010

[Cw3] M. Cowling, Rigidity for Lattices in Semisimple Lie Groups : von Neumann Algebras and Ergodic Actions, Rend. Sem. Mat. Univers. Politecn. Torino 47 (1989), 1-37. | MR 1120720 | Zbl 0746.22008

[CoH] M. Cowling and U. Haagerup, Completely Bounded Multipliers of the Fourier Algebra of a Simple Lie Group of Real Rank One, Inventiones Math. 96 (1989), 507-549. | Article | MR 996553 | Zbl 0681.43012

[CoH] M. Cowling, U. Haagerup and R. Howe, Almost L 2 Matrix Coefficients, J. reine angew. Math. 387 (1988), 97-110. | MR 946351 | Zbl 0638.22004

[CoS] M. Cowling et T. Steger, The Irreducibility of Restrictions of Unitary Representations to Lattices, J. reine angew. Math. 420 (1991), 85-98. | MR 1124567 | Zbl 0760.22014

[CxM] H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups (4th edition), Springer, 1980. | MR 562913 | Zbl 0422.20001

[Cu1] J. Cuntz, The K-groups for Free Products of C * -algebras, Proc. Symp. Pure Math. 38, Part I (1982), 81-84. | Article | MR 679696 | Zbl 0502.46050

[Cu2] J. Cuntz, K-theoretic amenability for discrete groups, J. reine Ang. Math. 344 (1983), 180-195. | MR 716254 | Zbl 0511.46066

[DeS] P. Deligne and D. Sullivan, Division Algebras and the Hausdorff-Banach-Tarski Paradox, l'Enseignement math. 29 (1983), 145-150. | MR 702737 | Zbl 0521.57035

[Del] T. Delzant, Sous-groupes à deux générateurs des groupes hyperboliques, in "Group Theory from a Geometric Viewpoint (26 March - 6 April 1990, Trieste)", edited by E. Ghys et al., World Scientific (1991), 177-189. | MR 1170366 | Zbl 0845.20027

[DC*] J. Dixmier, Les C * -algèbres et leurs représentations, Gauthier-Villars, 1969. | MR 246136 | Zbl 0174.18601

[Dy1] K. J. Dykema, Interpolated Free Group Factors, Pacific J. Math. (To appear). | MR 1256179 | Zbl 0791.46038

[Dy2] K. J. Dykema, Free Products of Hyperfinite von Neumann Algebras and Free Dimension, Duke Math. J. 69 (1993), 97-119. | MR 1201693 | Zbl 0784.46044

[Ef1] E. G. Effros, Property Γ and Inner Amenability, Proc. Amer. Math. Soc. 47 (1975), 483-486. | MR 355626 | Zbl 0321.22011

[Ef2] E. G. Effros, Why the Circle is Connected : An Introduction to Quantized Topology, Math. Intell. 11-1 (1989), 27-34. | Article | MR 979021 | Zbl 0673.46043

[ElR] G. A. Elliott and M. Rordam, The Automorphism Group of the Irrational Rotation C * -algebra, Preprint, Odense Univ. (1992). | MR 1228523 | Zbl 0895.46029

[ExL] R. Exel and T. A. Loring, Finite-dimensional Representations of Free Product C * -algebras, International J. Math. 3 (1992), 469-476. | Article | MR 1168356 | Zbl 0809.46055

[FaH] T. Fack and P. De La Harpe, Sommes de commutateurs dans les algèbres de von Neumann finies continues, Ann. Inst Fourier 30-3 (1980), 49-83. | Article | Numdam | MR 597017 | Zbl 0425.46046

[Far] D. R. Farkas, Group Rings : an Annotated Questionnaire, Comm. in Algebra 8 (1980), 585-602. | Article | MR 561753 | Zbl 0428.16011

[FTP] A. Figà-Talamanca and M. A. Picardello, Harmonic Analysis and Representation Theory for Groups Acting on Homogeneous Trees, Cambridge Univ. Press, 1991. | Article | MR 1152801 | Zbl 1154.22301

[FTN] A. Figà-Talamanca and C. Nebbia, Harmonic Analysis on Free Groups, Dekker, 1983. | MR 710827 | Zbl 0536.43001

[Fo1] E. Formanek, Idempotents in Noetherian Group Rings, Canadian J. Math. 25 (1973), 366-369. | Article | MR 316494 | Zbl 0224.16013

[Fo2] E. Formanek, The Type I Part of the Regular Representation, Can. J. Math. 26 (1974), 1086-1089. | Article | MR 364540 | Zbl 0253.43012

[For] B. Forrest, Amenability and Ideals in A(G), J. Austral. Math. Soc. (Series A) 53 (1992), 143-155. | Article | MR 1175708 | Zbl 0767.43003

[GhH] E. Ghys and P. De La Harpe (editors), Sur les groupes hyperboliques d'après Mikhael Gromov, Birkhäuser, 1990. | MR 1086650 | Zbl 0731.20025

[GiH] T. Giordano and P. De La Harpe, Groupes de tresses et moyennabilité intérieure, Arkiv for Mat. 29 (1991), 63-72. | Article | MR 1115075 | Zbl 0729.43001

[Gla] A. M. W. Glass, The Ubiquity of Free Groups, Math. Intelligencer 14 (1992), 54-56. | Article | MR 1184319 | Zbl 0791.20001

[GHJ] F. Goodman, P. De La Harpe and V. Jones, Coxeter Graphs and Towers of Algebras, Springer, 1989. | Article | MR 999799 | Zbl 0698.46050

[Gr1] M. Gromov, Hyperbolic Groups, in "Essays in Group Theory", edited by S.M. Gersten, Springer (1987), 75-263. | Article | MR 919829 | Zbl 0634.20015

[Gr2] M. Gromov, Asymptotic Invariants of Infinite Groups, in "Geometric Group Theory, volume II", edited by G.A. Niblo and M.A. Roller, Cambridge Univ. Press (1993), 1-295. | MR 1253544 | Zbl 0841.20039

[Haa1] U. Haagerup, An Example of a Nonnuclear C * -algebra which has the Metric Approximation Property, Inventiones Math. 50 (1979), 279-293. | Article | MR 520930 | Zbl 0408.46046

[Haa2] U. Haagerup, The Reduced C * -algebra of the Free Group on Two Generators, 18th Scandinavian Congress of Mathematicians (August 18-22, 1980). | Zbl 0525.46030

[Haa3] U. Haagerup, Group C * -algebras Without the Completely Bounded Approximation Property, Manuscript (May 1986).

[Har1] P. De La Harpe, Free Groups in Linear Groups, L'Enseignement math. 29 (1983), 129-144. | MR 702736 | Zbl 0517.20024

[Har2] P. De La Harpe, Reduced C * -algebras of Discrete Groups Which are Simple with Unique Trace, Springer Lecture Notes in Math. 1132 (1985), 230-253. | MR 799571 | Zbl 0575.46049

[Har3] P. De La Harpe, Groupes de Coxeter infinis non affines, Expo. Math. 5 (1987), 91-96. | MR 880259 | Zbl 0605.20049

[Har4] P. De La Harpe, Groupes hyperboliques, algèbres d'opérateurs et un théorème de Jolissaint, CR. Acad. Sc. Paris 307, Série I (1988), 771-774. | MR 972078 | Zbl 0653.46059

[Har5] P. De La Harpe, An Invitation to Coxeter Groups, in "Group Theory from a Geometric Viewpoint (26 March - 6 April 1990, Trieste), edited by E. Ghys et al., World Scientific (1991), 193-253. | MR 1170367 | Zbl 0840.20033

[HaJ] P. De La Harpe and K. Jhabvala, Quelques propriétés des algèbres d'un groupe discontinu d'isométries hyperboliques, in "Ergodic Theory (Séminaire, Les Plans-sur-Bex, 1980)", Monographie de l'Enseignement Math. 29 (1981), 47-55. | MR 609893 | Zbl 0506.22009

[HRV1] P. De La Harpe, G. Robertson and A. Valette, On the Spectrum of the Sum of Generators for a Finitely Generated Group, Israel J. Math. 81 (1993), 65-96. | Article | MR 1231179 | Zbl 0791.43008

[HRV2] P. De La Harpe, G. Robertson and A. Valette, On Exactness of Group C * -algebras, submitted to Quart. J. Math. | MR 1315460 | Zbl 0830.22004

[HRV3] P. De La Harpe, G. Robertson and A. Valette, On the Spectrum of the Sum of Generators for a Finitely Generated Group, part II, Colloquium Math. 65 (1993), 87-102. | MR 1224787 | Zbl 0846.46036

[HS1] P. De La Harpe and G. Skandalis, Sur la simplicité essentielle du groupe des inversibles et du groupe unitaire dans une C * -algèbre simple, J. Functional Analysis 62 (1985), 354-378. | Article | MR 794775 | Zbl 0573.46033

[HS2] P. De La Harpe and G. Skandalis, Powers' Property and Simple C * -algebras, Math. Ann. 273 (1986), 241-250. | Article | MR 817879 | Zbl 0563.46033

[HS3] P. De La Harpe and G. Skandalis, Les réseaux dans les groupes semi-simples ne sont pas intérieurement moyennables, L'Enseignement Math. (to appear). | MR 1309130 | Zbl 0840.22009

[HaVa] P. De La Harpe and A. Valette, La propriété (T) de Kazhdan pour les groupes localement compacts, Astérisque 175, Soc. Math. France, 1989. | Numdam | MR 1023471 | Zbl 0759.22001

[HaVo] P. De La Harpe and D. Voiculescu, A Problem on the II 1 -factors of Fuchsian Groups, These Proceedings. | MR 1372531 | Zbl 0849.46042

[Hau] J-C. Hausmann, Sur l'usage de critères pour reconnaître un groupe libre, un produit amalgamé ou une HNN-extension, l'Enseignement math. 27 (1981), 221-242. | MR 659150 | Zbl 0493.20016

[Hig] G. Higman, The Units of Group-rings, Proc. London Math. Soc. 46 (1940), 231-248. | Article | JFM 66.0104.04 | MR 2137

[HoR] R. E. Howe et J. Rosenberg, The Unitary Representation Theory of GL(n) of an Infinite Discrete Field, Israel J. Math. 67 (1989), 67-81. | Article | MR 1021362 | Zbl 0707.22002

[Ji1] R. Ji, Smooth Dense Subalgebras of Reduced Group C * -algebras, Schwartz Cohomology of Groups, and Cyclic Cohomology, J. Functional Analysis, to appear. | MR 1165864 | Zbl 0787.46043

[Ji2] R. Ji, Nilpotency of Connes' Periodic Operator and the Idempotent Conjectures, Preprint, Indiana University - Purdue University (1990). | MR 1340840 | Zbl 0826.46063

[JiP] R. Ji and S. Pedersen, Certain Full Group C * -algebras without Proper Projections, J. Operator Theory 24 (1990), 239-252. | MR 1150620 | Zbl 0817.46056

[Jo1] P. Jolissaint, Rapidly Decreasing Functions in Reduced C * -algebras of Groups., Trans Amer. Math. Soc. 317 (1990), 167-196. | MR 943303 | Zbl 0711.46054

[Jo2] P. Jolissaint, K-theory of Reduced C * -algebras and Rapidly Decreasing Functions on Groups, K-Theory 2 (1989), 723-735. | Article | MR 1010979 | Zbl 0692.46062

[Jo3] P. Jolissaint, Property T for Discrete Groups in Terms of their Regular Representation, Math. Annalen, to appear. | MR 1245404 | Zbl 0787.22007

[JoV] P. Jolissaint and A. Valette, Normes de Sobolev et convoluteurs bornés sur L 2 (G), Ann. Inst Fourier 41-4 (1991), 797-822. | Article | Numdam | MR 1150567 | Zbl 0734.43002

[Jo79] V. F. R. Jones, Notes on Connes' Invariant ( M), Unpublished Notes of Lectures given at Lausanne (1978/79) and elsewhere.

[Jo80] V. F. R. Jones, A II 1 -factor Anti-isomorphic to Itself but Without Involutory Antiautomorphism, Math. Scand. 46 (1980), 103-117. | Article | MR 585235 | Zbl 0422.46051 | Zbl 0432.46062

[Jo83] V. F. R. Jones, Index for Subfactors, Inventiones Math. 72 (1983), 1-25. | Article | MR 696688 | Zbl 0508.46040

[JuK] P. Julg and G. G. Kasparov, L'anneau KK G (,) pour SU(n,1), CR. Acad. Sc. Paris 313, Série I (1991), 259-264. | MR 1126391 | Zbl 0752.19005

[KaV] V. A. Kaimanovich and A. M. Vershik, Random Walks on Discrete Groups : Boundary and Entropy, Ann. of Probability 11 (1983), 457-490. | Article | MR 704539 | Zbl 0641.60009

[Ka1] R. R. Kallman, A Generalization of Free Action, Duke Math. J. 36 (1969), 781-789. | Article | MR 256181 | Zbl 0184.17101

[Ka2] R. R. Kallman, A Theorem on Discrete Groups and some Consequences of Kazdan Thesis, J. Functional Analysis 6 (1970), 203-207. | Article | MR 281015 | Zbl 0201.17102

[Kan] E. Kaniuth, Der Typ der regulären Darstellung diskreter Gruppen, Math. Ann. 182 (1969), 334-339. | Article | MR 260896 | Zbl 0169.34602

[KaT] E. Kaniuth and K. F. Taylor, Projections in C * -algebras of nilpotent groups, Manuscripta Math. 65 (1989), 93-111. | Article | MR 1006629 | Zbl 0678.43005

[Kap] I. Kaplansky, Group Algebras in the Large, Tôhoku Math. J. 3 (1951), 249-256. | Article | MR 48712 | Zbl 0044.32803

[Kas] G. G. Kasparov, Lorentz Groups : K-theory of Unitary Representations and Crossed Products, Soviet Math. Dokl. 29 (1984), 256-260. | MR 741223 | Zbl 0584.22004

[Kaw] Y. Kawahigashi, Centrally Trivial Automorphisms and an Analogue of Connes' χ ( M ) for Subfactors, Duke Math. J. 71 (1993), 93-118. | Article | MR 1230287 | Zbl 0830.46051

[KeW] O. Kegel and B. Wehrfritz, Locally Finite Groups, North Holland, 1973. | MR 470081 | Zbl 0259.20001

[Ke1] H. Kesten, Symmetric Random Walks on Groups, Trans. Amer. Math. Soc. 22 (1959), 336-354. | Article | MR 109367 | Zbl 0092.33503

[Ke2] H. Kesten, Full Banach Mean Values on Countable Groups, Math. Scand. 7 (1959), 146-156. | Article | MR 112053 | Zbl 0092.26704

[Ki1] E. Kirchberg, Positive Maps and C * -nuclear Algebras, Proceedings of the Intern. Conf. on Operator Algebras, Ideals and their Applications in Theoretical Physics (Leipzig 1977), Teubner, Leipzig (1978), 327-328. | Zbl 0407.46049

[Ki2] E. Kirchberg, The Fubini Theorem for Exact C * -algebras, J. Operator Theory 10 (1983), 3-8. | MR 715549 | Zbl 0543.46035

[Ki3] E. Kirchberg, On Non-semisplit Extensions, Tensor Products and Exactness of Group C * -algebras, Inventiones Math. 112 (1993), 449-489. | Article | MR 1218321 | Zbl 0803.46071

[KiV] E. Kirchberg and G. Vaillant, On C * -algebras Having Linear, Polynomial and Subexponential Growth, Inventiones Math. 108 (1992), 635-652. | Article | MR 1163240 | Zbl 0742.46036

[Kou] E. Kirchberg and G. Vaillant, The Kourovka Notebook (Unsolved Problems in Group Theory), Amer. Math. Soc., Translations 121, 1983

E. Kirchberg and G. Vaillant The Kourovka Notebook (Unsolved Problems in Group Theory), (see also Russian Math. Surveys 46 : 5 (1991) 137-182). | Article

[Kle] F. Klein, Neue Beiträge zur Riemann'schen Functionentheorie, Math. Annalen 21 (1883), 141-218. | Article | JFM 15.0351.01 | MR 1510193

[Kum] A. Kumjian, An Involutive Automorphism of the Bunce-Deddens Algebra, C.R. Math. Rep. Acad. Sci. Canada 10 (1988), 217-218. | MR 962104 | Zbl 0669.46028

[La1] C. Lance, On Nuclear C * -algebras, J. Functional Analysis 12 (1973), 157-176. | Article | MR 344901 | Zbl 0252.46065

[La2] C. Lance, Tensor Products and Nuclear C * -algebras, Proc. Symp. Pure Math. 38, Part I (1982), 379-399. | Article | MR 679721 | Zbl 0498.46044

[LHa] M. Lemvig Hansen, Weak Amenability of the Universal Covering Group of SU(1,n), Preprint. | MR 1079871 | Zbl 0693.43004

[Lep] H. Leptin, The Structure of L 1 (G) for locally compact groups, in "Operator Algebras and Group Representations, vol. II (Proc. Intern. Conf. Neptune, 1980)", edited by Gr. Arsene et al., Pitman (1984), 48-61. | MR 733302 | Zbl 0524.22007

[LuZ] A. Lubotzky and R. J. Zimmer, Variants of Kazhdan's Property for Subgroups of Semisimple Groups, Israel J. Math. 66 (1989), 289-299. | Article | MR 1017168 | Zbl 0706.22010

[Mac] A.M. Macbeath, Packings, Free Products and Residually Finite Groups, Proc. Camb. Phil. Soc. 59 (1963), 555-558. | Article | MR 148731 | Zbl 0118.03204

[Mal] A. I. Mal'Cev, On the faithful Representations of Infinite Groups by Matrices, Amer. Math. Soc. Translations 45 (1965), 1-18. | Zbl 0158.02905

[Mar] O. Maréchal, Une remarque sur un théorème de Glimm, Bull. Sc. math. 99 (1975), 41-44. | MR 430797 | Zbl 0304.46035

[Mas] G. A. Margulis, Discrete Subgroups of Semisimple Lie Groups, Springer, 1991. | Article | MR 1090825 | Zbl 0732.22008

[McD] D. Mcduff, Uncountably many II 1 Factors, Ann. of Math. 90 (1969), 372-377. | Article | MR 259625 | Zbl 0184.16902

[MNI] F. J. Murray and J. Von Neumann, On Rings of Operators, Ann. of Math. 37 (1936), 116-229 (= [vNe], 6-119). | Article | JFM 62.0449.03 | MR 1503275 | Zbl 0014.16101

[MNIV] F. J. Murray and J. Von Neumann, On Rings of Operators, IV, Ann. of Math. 44 (1943), 716-808 (= [vNe], 229-321). | Article | MR 9096 | Zbl 0060.26903

[MyW] J. Mycielski and S. Wagon, Large Free Groups of Isometries and their Geometrical Uses, L'Enseignement Math. 30 (1984), 247-267. | MR 767903 | Zbl 0563.57021

[Naz] M. L. Nazarov, Projective Representations of the Infinite Symmetric Group, in "Representation Theory and Dynamical Systems", edited by A.M. Vershik, Adv. in Soviet Math. 9 (1992), 115-130. | Article | MR 1166198 | Zbl 0809.20006

[vNe] J. Von Neumann, Collected Works, Volume III, edited by A.H. Taub, Academic Press, 1961. | MR 157873 | Zbl 0188.00102

[Ogl] C. Ogle, Assembly Maps, K-Theory, and Hyperbolic Groups, K-Theory 6 (1992), 235-265. | Article | MR 1189277 | Zbl 0776.19004

[Pac] J. A. Packer, Twisted Group C * -algebras Corresponding to Nilpotent Discrete Groups, Math. Scand. 64 (1989), 109-122. | Article | MR 1036431 | Zbl 0895.46031

[PaS] W. Paschke and N. Salinas, C * -algebras Associated with the Free Products of Groups, Pacific J. Math. 82 (1979), 211-221. | Article | MR 549845 | Zbl 0413.46049

[Pat] A. T. Paterson, Amenability, Math. Surveys and Monographs 29, Amer. Math. Soc., 1988. | Article | MR 961261 | Zbl 0648.43001

[Ped] G. K. Pedersen, C * -algebras and their Automorphism Groups, Academic Press, 1979. | MR 548006 | Zbl 0416.46043

[Phi] J. Phillips, Outer Automorphisms of Separable C * -algebras., J. Functional Analysis 70 (1987), 111-116. | Article | MR 870756 | Zbl 0636.46056

[Pim] M. Pimsner, KK-groups of Crossed Products by Groups Acting on Trees, Inventiones Math. 86 (1986), 603-634. | Article | MR 860685 | Zbl 0638.46049

[PiP] M. Pimsner and S. Popa, Sur les sous-facteurs d'indice fini d'un facteur de type II 1 ayant la propriété T., C.R. Acad. Sc. Paris 303, Série I (1986), 359-361. | MR 860839 | Zbl 0592.46054

[PiV] M. Pimsner and D. Voiculescu, K-groups of Reduced Crossed Products by Free Groups, J. Operator Theory 8 (1982), 131-156. | MR 670181 | Zbl 0533.46045

[Po1] S. Popa, Orthogonal Pairs of * -algebras in Finite von Neumann Algebras, J. Operator Theory 9 (1983), 253-268. | MR 703810 | Zbl 0521.46048

[Po2] S. Popa, Maximal Injective Subalgebras in Factors Associated with Free Groups, Advances in Math. 50 (1983), 27-48. | Article | MR 720738 | Zbl 0545.46041

[Po3] S. Popa, Notes on Cartan Subalgebras in Type II 1 Factors, Math. Scand. 57 (1985), 171-188. | Article | MR 815434 | Zbl 0641.46034

[Po4] S. Popa, Correspondences, Preprint (1986).

[Po5] S. Popa, Some Rigidity Results in Type II 1 Factors, C.R. Acad. Sc. Paris 311, Série I (1990), 535-538. | MR 1078117 | Zbl 0723.46042

[Po6] S. Popa, Free-independent Sequences in Type II 1 Factors and Related Problems, Preprint, UCLA (1992). | MR 1372533 | Zbl 0840.46039

[PoT] S. Popa and M. Takesaki, The Topological Structure of the Unitary and Automorphism Groups of a Factor, Preprint, UCLA (1992). | Zbl 0799.46074

[Pow] R. T. Powers, Simplicity of the C * -algebra Associated with the Free Group on Two Generators, Duke Math. J. 42 (1975), 151-156. | Article | MR 374334 | Zbl 0342.46046

[Pro] S. D. Promislov, A Class of Groups Producing Simple, Unique Trace, C * -algebras, Math. Proc. Camb. Phil. Soc. 114 (1993), 223-233. | Article | MR 1230130 | Zbl 0799.46069

[Ra1] F. Radulescu, The Fundamental Group of the von Neumann Algebra of a Free Group with Infinitely Many Generators is + -0, J. of Amer. Math. Soc. 5 (1992), 517-532. | MR 1142260 | Zbl 0791.46036

[Ra2] F. Radulescu, A One Parameter Group of Automorphisms of (F)B(H) scaling the trace, C.R. Acad. Sci. Paris 314, Série I (1992), 1027-1032. | MR 1168529 | Zbl 0810.46073

[Ra3] F. Radulescu, Sous-facteurs de (F) d'indice 4cos 2 π n,n3, C.R. Acad. Sci. Paris 315, Série I (1992), 37-42. | MR 1172403 | Zbl 0783.46032

[Ra4] F. Radulescu, Stable Equivalence of the Weak Closures of Free Groups Convolution Algebras, Preprint, Univ. of Berkeley (1992). | MR 1234103 | Zbl 0802.46082

[Ra5] F. Radulescu, Random Matrices, Amalgamated Free Products and Subfactors of the von Neumann Algebra of a Free Group, of Noninteger Index, Preprint, IHES (1991) | MR 1258909 | Zbl 0861.46038

[Rag] M. S. Raghunathan, Discrete Subgroups of Lie Groups, Springer, 1972. | Article | MR 507234 | Zbl 0254.22005

[Rei] K. Reidemeister, Einführung in die kombinatorische Topologie, Vieweg, 1932. | JFM 58.0611.01 | MR 36991 | Zbl 0004.36904

[Rin] J. R. Ringrose, Cohomology of Operator Algebras, Lecture Notes in Math. 247 (Springer, 1972), 355-434. | MR 383102 | Zbl 0235.46095

[Rob] A. G. Robertson, Property (T) for II 1 Factors and Unitary Representations of Kazhdan Groups, Math. Ann. 296 (1993), 547-555. | Article | MR 1225990 | Zbl 0787.22008

[Ros] J. Rosenberg, Un complément à un théorème de Kirillov sur les caractères de GL(n) d'un corps infini discret, C.R. Acad. Sc. Paris 309, Série I (1989), 581-586. | MR 1053282 | Zbl 0902.22004

[Sai] T. Saitô, Generations of von Neumann Algebras, Lecture Notes in Math. 247 (Springer, 1972), 435-531. | MR 377542 | Zbl 0245.46088

[Sak] S. Sakai, C * -algebras and W * -algebras, Springer, 1971. | MR 442701 | Zbl 1024.46001

[Sch] G. Schlichting, Eine Charakterisierung gewisser diskreter Gruppen durch ihre reguläre Darstellung, Manuscripta Math. 9 (1973), 389-409. | Article | MR 323949 | Zbl 0258.43015

[Sc1] H. Schröder, On the Homotopy Type of the Regular Group of a W * -algebra, Math. Ann. 267 (1984), 271-277. | Article | MR 738252 | Zbl 0525.46040

[Sc2] H. Schröder, On the Topology of the Group Invertible Elements - A Survey, Preprint, Dortmund (1992).

[Seg] I. E. Segal, Irreducible Representations of Operator Algebras, Bull. Amer. Math. Soc. 53 (1947), 73-88. | Article | MR 20217 | Zbl 0031.36001

[Ser] J-P. Serre, Arbres, amalgames, SL 2 , Astérisque 46, Soc. Math. France, 1977. | Numdam | MR 476875 | Zbl 0369.20013

[Sk1] G. Skandalis, Une notion de nucléarité en K-théorie (d'après J. Cuntz), K-Theory 1 (1988), 549-573. | Article | MR 953916 | Zbl 0653.46065

[Sk2] G. Skandalis, Algèbres de von Neumann de groupes libres et probabilités non commutatives (d'après Voiculescu et al), Séminaire Bourbaki 764 (novembre 1992). | Numdam | MR 1246394 | Zbl 0797.46042

[Sm1] M. Smith, Regular Representations of Discrete Groups, J. Functional Analysis 11 (1972), 401-406. | Article | MR 344902 | Zbl 0244.43004

[Sm2] M. Smith, Regular Representations of Unimodular Groups, Math. Ann. 203 (1973), 183-185. | Article | MR 320224 | Zbl 0255.22013

[Sto] E. Stormer, Entropy of Some Automorphisms of the II1-factor of the Free Group in Infinite Number of Generators, Inventiones Math. 110 (1992), 63-73. | Article | MR 1181816 | Zbl 0807.46079

[Sun] T. Sunada, Group C * -algebras and the Spectrum of a Periodic Schrödinger Operator on a Manifold, Can. J. Math. 44 (1992), 180-193. | Article | MR 1152674 | Zbl 0772.58065

[Swa] R. G. Swan, Group of Cohomological Dimension One, J. of Algebra 12 (1969), 585-601. | Article | MR 240177 | Zbl 0188.07001

[Sz1] R. Szwarc, An Analytic Series of Irreducible Representations of the Free Group, Ann. Inst. Fourier 38-1 (1988), 87-110. | Article | Numdam | MR 949000 | Zbl 0634.22003

[Sz2] R. Szwarc, A Short Proof of the Grigorchuk-Cohen Cogrowth Theorem, Proc. Amer. Math. Soc. 106 (1989), 663-665. | Article | MR 975660 | Zbl 0681.43004

[Sz3] R. Szwarc, Group Acting on Trees and Approximation Properties of the Fourier Algebra, J. Functional Analysis 95 (1991), 320-343. | Article | MR 1092129 | Zbl 0744.22005

[Ta1] M. Takesaki, On the Cross-norm of the Direct Product of C * -algebras, Tôhoku Math. J. 16 (1964), 11-122. | Article | MR 165384 | Zbl 0127.07302

[Ta2] M. Takesaki, Theory of Operator Algebras I, Springer, 1979. | Article | MR 548728 | Zbl 0990.46034

[Tho] E. Thoma, Ein Charakterisierung diskreter Gruppen vom Typ I, Inventiones Math. 6 (1968), 190-196. | Article | MR 248288 | Zbl 0169.03802

[Tit] J. Tits, Free Subgroups in Linear Groups, J. of Algebra 20 (1972), 250-270. | Article | MR 286898 | Zbl 0236.20032

[Tom] M. J. Tomkinson, FC-groups, Pitman, 1984. | MR 742777 | Zbl 0547.20031

[Va1] A. Valette, Minimal Projections, Integrable Representations and Property (T), Arch. Math. 43 (1984), 397-406. | Article | MR 773186 | Zbl 0538.22006

[Va2] A. Valette, The Conjecture of Idempotents : a Survey of the C * -algebraic Approach, Bull. Soc. Math. Belg. 46 (1989), 485-521. | MR 1037649 | Zbl 0692.46063

[Va3] A. Valette, Les représentations uniformément bornées associées à un arbre réel, Bull. Soc. Math. Belgique, Série A 42 (1990), 747-760. | MR 1316222 | Zbl 0727.43002

[Va4] A. Valette, Weak Amenability of Right Angled Coxeter Group, Proc. Amer. Math. Soc. (to appear). | MR 1172955 | Zbl 0822.22001

[Va5] A. Valette, Projections in Full C * -algebras of Semisimple Groups, Math. Ann. 294 (1992), 277-287. | Article | MR 1183406 | Zbl 0753.22002

[Vo1] D. Voiculescu, A Non-commutative Weyl-von Neumann Theorem, Rev. Roumaine Math. Pures Appl. 21 (1976), 97-113. | MR 415338 | Zbl 0335.46039

[Vo2] D. Voiculescu, Circular and Semicircular Systems and Free Product Factors, in "Operator Algebras, Unitary Representations, Enveloping Algebras, and Invariant Theory (Actes du colloque en l'honneur de Jacques Dixmier)", edited by A. Connes et al., Birkhäuser (1990), 45-60. | MR 1103585 | Zbl 0744.46055

[VDN] D. Voiculescu, K. J. Dykema and A. Nica, Free Random Variables, CRM Monograph Series, Amer. Math. Soc., 1992. | Article | MR 1217253 | Zbl 0795.46049

[Wa1] M. E. Walter, W * -algebras and Nonabelian Harmonic Analysis, J. Functional Analysis 11 (1972), 17-38. | Article | MR 352879 | Zbl 0242.22010

[Wa2] M. E. Walter, A Duality Between Locally Compact Groups and Certain Banach Algebras, J. Functional Analysis 17 (1974), 131-160. | Article | MR 361622 | Zbl 0287.43008

[Wag] S. Wagon, The Banach-Tarski Paradox, Cambridge Univ. Press, 1985. | Article | MR 803509 | Zbl 0569.43001

[Was1] S. Wassermann, On Tensor Products of Certain Group C * -algebras, J. Functional Analysis 23 (1976), 239-254. | Article | MR 425628 | Zbl 0358.46040

[Was2] S. Wassermann, Tensor Products of Free-Group C * -algebras, Bull. London Math. Soc. 22 (1990), 375-380. | Article | MR 1058315 | Zbl 0717.46049

[Wat] Y. Watatani, The Character Groups of Amenable Group C * -algebras, Math. Japonica 24 (1979), 141-144. | MR 539399 | Zbl 0412.46050

[Wen] J. G. Wendel, Left Centralizers and Isomorphisms of Group Algebras, Pacific J. Math. 2 (1952), 251-261. | Article | MR 49911 | Zbl 0049.35702

[Woe] W. Woess, Cogrowth of Groups and Simple Random Walks, Arch. Math. 41 (1983), 363-370. | Article | MR 731608 | Zbl 0522.20043

[Yos] H. Yoshizawa, Some Remarks on Unitary Representations of the Free Group, Osaka Math. J. 3 (1951), 55-63. | MR 41854 | Zbl 0045.30103

[Zim] R. J. Zimmer, Ergodic Theory and Semisimple Groups, Birkhäuser, 1984. | MR 776417 | Zbl 0571.58015