Quelques aspects de la théorie des algèbres d'opérateurs
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Volume 24 (1977), Talk no. 2, 75 p.
@article{RCP25_1977__24__13_0,
     author = {Connes, Alain},
     title = {Quelques aspects de la th\'eorie des alg\`ebres d'op\'erateurs},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {24},
     year = {1977},
     note = {talk:2},
     language = {fr},
     url = {http://www.numdam.org/item/RCP25_1977__24__13_0}
}
Connes, A. Quelques aspects de la théorie des algèbres d'opérateurs. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Volume 24 (1977) Talk no. 2, 75 p. http://www.numdam.org/item/RCP25_1977__24__13_0/

[1] C. Akemann et P. Ostrand. On a tensor product C* algebra associated with the free group on two generators (Preprint). | MR 399345 | Zbl 0298.46067

[2] H. Araki et E.J. Woods. A classification of factors. (Publ. Res. Inst. Math. Sci. Kyoto Univ.) t.4. (1968) p. 51-130. | MR 244773 | Zbl 0206.12901

[3] W. Arveson Subalgebras of C* algebras Acta Math 123 (1969) 141-224. | MR 253059 | Zbl 0194.15701

[4] M. Choi et E. Effros Separable nuclear C* algebras and injectivity, (à paraître). | Zbl 0382.46026

[5] F. Combes Poids associé à une algèbre hilbertienne à gauche. (Compos. Math. t. 23 ( 1971 ) p. 49-77). | Numdam | MR 288590 | Zbl 0208.38201

[6] A. Connes Sur la classification des facteurs de type II . (CR. Acad. Sci. Paris t. 281 (1975) p. 13-15). | MR 377534 | Zbl 0304.46042

[7] A. Connes Almost periodic states and factors of type III1 . J. Funct. Analysis 16 (1974) p. 415-445. | MR 358374 | Zbl 0302.46050

[8] A. Connes Une classification des facteurs de type III . (Ann. Scient. Ecole Norm. Sup. 4ème Serie tome 6 fasc. 2 (1973) p. 133-252). | Numdam | MR 341115 | Zbl 0274.46050

[9] A. Connes Classification of injective factors. (Annals of Math. 104 (1976) p. 73-115). | MR 454659 | Zbl 0343.46042

[10] A. Connes et E. Størmer Homogeneity of the state space of factors of type III1. (Preprint). | Zbl 0408.46048

[11] A. Connes et E. Størmer Entropy for automorphisms of II1 von Neumann algebras. (Acta Math. t. 134 (1975) P. 289-306). | MR 454657 | Zbl 0326.46032

[12] A. Connes Outer conjugacy classes of automorphisms of factors. (Annales Scient. Ecole Norm. Sup.). | Numdam | Zbl 0342.46052

[13] A. Connes et M. Takesaki The flow of weights on factors of type III. (A paraître). | Zbl 0408.46047

[14] J. Dixmier Formes linéaires sur un anneau d'opérateurs (Bull. Soc Math. France 81 (1953 p. 9-39). | Numdam | MR 59485 | Zbl 0050.11501

[15] J. Dixmier Les algèbres d'opérateurs dans l'espace hilbertien, 2ème édition Paris, Gauthier-Villars 1969. | MR 352996 | Zbl 0088.32304

[16] J. Dixmier Les C* algèbres et leurs représentations Paris Gauthier Villars. | Zbl 0174.18601

[17] D. Mc Duff Central sequences and the hyperfinite factor Proc. London Math. Soc. XXI (1970) p. 443-461. | MR 281018 | Zbl 0204.14902

[18] H. Dye On groups of measure preserving transformations I (Am. J. of Math. t. 81 (1959). p. 119-159. | MR 131516 | Zbl 0087.11501

H. Dye On groups of measure preserving transformations II (Am. J. of Math. t. 85 (1963) p. 551-576. | MR 158048 | Zbl 0191.42803

[19] E. Effros et C. Lance Tensor products of operator algebras. (A paraître). | Zbl 0372.46064

[20] G. Elliott et E. J. Woods The equivalence of various definitions of hyperfinitences of a property infinite von Neumann algebra (preprint).

[21] G. Elliott On the classification of inductive limits of sequences of semi-simple finite dim. algebras. J. of Algebra 38 (1976), p. 29-44. | MR 397420 | Zbl 0323.46063

[22] J. Feldman et C. Moore Ergodic equivalence relations, cohomology and von Neumann algebras I, (à paraître). | Zbl 0369.22009

[23] V. Ya. Golodets Cross products of von Neumann algebras Y. Math. N. 26 N° 5 (1971) p. 3-50, voir (A. Connes, P. Ghez, R. Lima, D. Testard et E.J. Woods : Review of a paper of Golodets). | MR 410405 | Zbl 0225.46062

[24] U. Haagerup Normal weights on W* algebras, (J. Funct. Analysis t. 19 (1975) p. 302-317). | MR 380438 | Zbl 0304.46043

[25] J. Hakeda et J. Tomiyama On some extension properties of von Neumann algebras. (Tohoku Math. J. t. 19 (1967) p. 315-323). | MR 222656 | Zbl 0175.14201

[26] B. Johnson Cohomology in Banach Algebras. Memoir A.M.S. 127 (1972). | MR 374934 | Zbl 0256.18014

[27] B. Johnson, R. V. Kadison et J. Ringrose Cohomology in operator algebras III, Bull. Soc. Math. France 100 (1972) p. 73-96. | Numdam | MR 318908 | Zbl 0234.46066

[28] W. Krieger On the Araki-Woods asymptotic ratio set and non singular transformations of a Measure space. (Dans "contributions to ergodic theory and probability, Lecture notes n° 160 (1970)). | MR 414823 | Zbl 0213.34103

[29] W. Krieger On ergodic flows and the isomorphism of factors. (Math. Ann. 223 (1976) p. 19-70). | MR 415341 | Zbl 0332.46045

[30] O. Marechal Une remarque sur un théorème de Glimm. (Bull. Soc. Math. France 2ème Série 99 (1975) p. 41-44). | MR 430797 | Zbl 0304.46035

[31] F.J. Murray et J. Von Neumann On rings of operators. (Ann. of Math. t. 37 (1936) p. 116-229). | MR 1503275 | Zbl 0014.16101

[32] F.J. Murray et J. Von Neumann On rings of operators, II (Trans. Amer. Math. Soc. t. 41 (1937) p. 208-248). | JFM 63.1008.03 | MR 1501899

[33] J. Von Neumann On rings of operators III. (Ann. of Math. t. 41 (1940) p. 94-161). | MR 898 | Zbl 0023.13303

[34] F.J. Murray et J. Von Neumann On rings of operators IV. (Ann. of Math. t. 44 (1943) p. 716-808). | MR 9096 | Zbl 0060.26903

[35] J. Von Neumann On rings of operators : Reduction theory. (Ann. Math. t. 50 (1949) p. 401-485). | MR 29101 | Zbl 0034.06102

[36] J. Phillips Automorphisms of full II1 factors with applications to type III factors. | Zbl 0394.46057

[37] R.T. Powers Representations of uniformly hyperfinite algebras and their associated von Neumann rings. (Ann. of Math. t. 86 (1967) p. 138-171). | MR 218905 | Zbl 0157.20605

[38] P. Schields The theory of Bernouilli shifts (Chicago press). | Zbl 0308.28011

[39] S. Sakai Automorphisms and tensor products of operator algebras (à paraître dans American Journal of Math). | Zbl 0321.46052

[40] S. Sakai On automorphism groups of type II factors Tohôku Math. J. 26 (1974) p. 423-430. | MR 380443 | Zbl 0303.46060

[41] S. Sakai C* and W* algebras. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 60. | Zbl 0219.46042

[42] J. Schwartz Two finite, non hyperfinite, non isomorphic factors. Comm. Pure Appl. Math. 16 (1963) 19-26. | MR 149322 | Zbl 0131.33201

[43] I. Segal A non commutative extension of abstract integration. Ann. of Math. 57 (1953) p. 401-457. | MR 54864 | Zbl 0051.34201

[44] M. Takesaki On the cross norm of the direct product of C algebras. Tohoku Math. J. 16 (1964) 111-122. | MR 165384 | Zbl 0127.07302

[45] M. Takesaki Tomita's theory of modular Hilbert algebras and its applications. (Lecture notes N° 128, Springer Verlag 1970). | MR 270168 | Zbl 0193.42502

[46] M. Takesaki Duality in cross products and the structure of von Neumann algebras of type III. Acta Math. 131 (1973) p. 249-310. | MR 438149 | Zbl 0268.46058

[47] J. Tomiyama On the projection of norm one in W algebras. Proc. Japan Acad. 33 (1957) 608-612. | MR 96140 | Zbl 0081.11201

[48] J. Vesterstrøm Quotients of finite W* algebras (J. Funct. Analysis t. 9 (1972) p. 322-335). | MR 296715 | Zbl 0227.46070

[49] F.J. Yeadon A new proof of the existence of a traceon a finite von Neumann algebra. (Bull. Am. Math. Soc. t. 77 (1971), p. 257-260). | MR 271748 | Zbl 0241.46057