Approche de la conjecture de Novikov par la cohomologie cyclique [d'après A. Connes, M. Gromov et H. Moscovici]
Séminaire Bourbaki : volume 1990/91, exposés 730-744, Astérisque, no. 201-202-203 (1991), Exposé no. 739, 22 p.
@incollection{SB_1990-1991__33__299_0,
     author = {Skandalis, Georges},
     title = {Approche de la conjecture de {Novikov} par la cohomologie cyclique [d'apr\`es {A.} {Connes,} {M.} {Gromov} et {H.} {Moscovici]}},
     booktitle = {S\'eminaire Bourbaki : volume 1990/91, expos\'es 730-744},
     series = {Ast\'erisque},
     note = {talk:739},
     pages = {299--320},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {201-202-203},
     year = {1991},
     mrnumber = {1157846},
     zbl = {0749.58056},
     language = {fr},
     url = {http://archive.numdam.org/item/SB_1990-1991__33__299_0/}
}
TY  - CHAP
AU  - Skandalis, Georges
TI  - Approche de la conjecture de Novikov par la cohomologie cyclique [d'après A. Connes, M. Gromov et H. Moscovici]
BT  - Séminaire Bourbaki : volume 1990/91, exposés 730-744
AU  - Collectif
T3  - Astérisque
N1  - talk:739
PY  - 1991
SP  - 299
EP  - 320
IS  - 201-202-203
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/SB_1990-1991__33__299_0/
LA  - fr
ID  - SB_1990-1991__33__299_0
ER  - 
%0 Book Section
%A Skandalis, Georges
%T Approche de la conjecture de Novikov par la cohomologie cyclique [d'après A. Connes, M. Gromov et H. Moscovici]
%B Séminaire Bourbaki : volume 1990/91, exposés 730-744
%A Collectif
%S Astérisque
%Z talk:739
%D 1991
%P 299-320
%N 201-202-203
%I Société mathématique de France
%U http://archive.numdam.org/item/SB_1990-1991__33__299_0/
%G fr
%F SB_1990-1991__33__299_0
Skandalis, Georges. Approche de la conjecture de Novikov par la cohomologie cyclique [d'après A. Connes, M. Gromov et H. Moscovici], dans Séminaire Bourbaki : volume 1990/91, exposés 730-744, Astérisque, no. 201-202-203 (1991), Exposé no. 739, 22 p. http://archive.numdam.org/item/SB_1990-1991__33__299_0/

[1] M. F. Atiyah - Elliptic operators discrete groups and von Neumann algebras, Astérisque 32-33 (1976), 43-72. | MR | Zbl

[2] P. Baum and A. Connes - Geometric K -theory for Lie groups and foliations, preprint I.H.E.S. (1982). | MR

[3] P. Baum and A. Connes - Leafwise homotopy equivalence and rational Pontrjagin classes. in Foliations, Advanced Studies in Pure Mathematics 5 (1985), 1-14. | MR | Zbl

[4] M. Bökstedt, W. C. Hsiang et I. Madsen - En préparation. Voir l'exposé de BÖKSTEDT au Congrès (ICM) de Kyoto (1990).

[5] J.-B. Bost - K -théorie des produits croisés et principe d'Oka, C.R.A.S. Paris 301, Ser. I (1985), n° 5, 189-192. | MR | Zbl

[6] D. Burghelea - The cyclic homology of groups, Comment. Math. Helvetici 60 (1985), 354-365. | MR | Zbl

[7] S. E. Cappell - On homotopy invariance of higher signatures, Invent. Math. 33 (1976), 171-179. | MR | Zbl

[8] P. Cartier - Homologie cyclique : Rapport sur des travaux récents de Connes, Karoubi, Loday, Quillen, ..., Sém. Bourbaki, Février 1984, exposé n° 621, Astérisque 121-122 (1985), 123-146. | Numdam | MR | Zbl

[9] A. Connes - Non commutative differential geometry. Chapter I : The Chern character in K -homology. Chapter II : De Rham homology and non commutative algebra, Publ. Math. I.H.E.S. 62 (1986), 257-360. | Numdam | MR | Zbl

[10] A. Connes - Cyclic cohomology and the transverse fundamental class of a foliation, in Geometric methods in operator algebras. H. Araki and E.G. Effros éd., Pitnam Research Notes in Math. Series 123, Longman Wiley (1986), 52-144. | MR | Zbl

[11] A. Connes - Entire cyclic cohomology of Banach algebras and the character of θ-summable Fredholm modules, K-theory 1 (1988), 519- 548. | Zbl

[12] A. Connes, M. Gromov et H. Moscovici - Conjecture de Novikov et fibrés presque plats, C.R.A.S. Paris 310 Ser. I (1990), 273-277. | MR | Zbl

[13] A. Connes and H. Moscovici - Cyclic cohomology, the Novikov | Zbl

conjecture and fundamental groups, Topology 29 (1990), 345-388. | MR

[14] T. Fack - K -théorie bivariante de Kasparov, Sém. Bourbaki Février 1983, exposé n° 605, Astérisque 105-106 (1983), 149-166. | EuDML | Numdam | MR | Zbl

[15] F. T. Farrell et W. C. Hsiang - On Novikov's conjecture for nonpositively curved manifolds. I, Ann. Math. 113 (1981), 199-209. | MR | Zbl

[16] B. L. Feigin et B. L. Tsygan - Additive K -theory | Zbl

[17] E. Getzler - Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem, Comm. Math. Phys. 92 (1983), 163-176. | MR | Zbl

[18] É. Ghys - L'invariant de Godbillon-Vey, Sém. Bourbaki, mars 1989, Exposé n° 706, Astérisque 177-178 (1989), 155-182. | EuDML | Numdam | MR | Zbl

[19] É. Ghys - Les groupes hyperboliques, Sém. Bourbaki Mars 1990, exposé n° 722, à paraître dans Astérisque 189-190. | EuDML | Numdam | MR | Zbl

[20] M. Gromov - Hyperbolic groups, in Essays in group theory. M.S.R.I. Publ. 8 (1987), 75-263. | MR | Zbl

[21] M. Gromov et H. B. Lawson - Positive scalar curvature and the Dirac operator on complete Riemannian manifolds, Publ. Math. I.H.E.S. 58 (1983), 83-196. | EuDML | Numdam | MR | Zbl

[22] P. De La Harpe - Groupes hyperboliques, algèbres d'opérateurs et un théorème de Jolissaint, C.R.A.S. Paris 307 Ser. I (1988), 771-774. | MR | Zbl

[23] M. Hilsum et G. Skandalis - Invariance par homotopie de la signature à coefficients dans un fibré presque plat (d'après Connes-Gromov-Moscovici), à paraître dans J. für Crelle und Ang. Math. | EuDML | Zbl

[24] F. Hirzebruch - Topological methods in algebraic geometry, Berlin-Heidelberg-New York, Springer (1965). | MR | Zbl

[25] W. C. Hsiang, H. D. Rees - Miscenko's work on Novikov's conjecture, Contemp. Math. 72 (1982), 77-98. | MR | Zbl

[26] P. Jolissaint - K -groups of reduced C * -algebras and rapidly decreasing functions on groups, K -theory 2 (1989), 723-735. | MR | Zbl

[27] J. Kaminker and J. G. Miller - Homotopy invariance of the analytic signature operators over C * -algebras, J. Operator Theory 14 (1985), 113-127. | MR | Zbl

[28] M. Karoubi - K -theory, an introduction, Grund. des Mat. Wis., Springer-Verlag (1978). | MR | Zbl

[29] G. G. Kasparov - Topological invariants of elliptic operators I : K -homology, Izv. Akad. Nauk. S.S.S.R. Ser. Mat. 39 (1975), 796-838 ; English transl. in Math. U.S.S.R. Izv. 9 (1975), 751-792. | MR | Zbl

[30] G. G. Kasparov - Equivariant K K -theory and the Novikov conjecture, Inv. Math. 91 (1988), 147-201 ; (cf. aussi : K -theory, group $C^\ast$-algebras and higher signatures, Conspectus Parts 1 and 2, preprint Chernogolovka (1981). | EuDML | MR | Zbl

[31] G. G. Kasparov - Operator K -theory and its applications : elliptic operators, group representations, higher signatures, $C^\ast$-extensions, in Proc. I.C.M. conf. Warsaw 1983, PWN Elsevier (1984), 987-1000. | MR | Zbl

[32] G. G. Kasparov and G. Skandalis - Groups acting on buildings, Operator K -theory and Novikov's conjecture, $K$-theory 4 (1991), 303- 337. | MR | Zbl

[33] G. Lusztig - Novikov's higher signature and families of elliptic operators, J. of Diff. Geometry 7 (1971), 229-256. | MR | Zbl

[34] A. S. Mishchenko - Homotopy invariance of non simply connected manifolds, I : Rational invariance, Math. U.S.S.R. Izv. 4 (1970), 509- 519, traduit de Izv. Akad. Nauk. S.S.S.R. Ser. Math. 34 (1970), 501-514. | MR | Zbl

[35] A. S. Mishchenko - Infinite dimensional representations of discrete groups and higher signatures, Izv. Akad. S.S.S.R. Ser. Mat. 38 (1974), 81-106. | MR | Zbl

[36] A. S. Mishchenko - C * -algebras and K -theory, Springer Lect. Notes in Math. vol. 763 (1979), 262-274. | MR | Zbl

[37] A. S. Mishchenko and Yu. P. Solov'Jev - Représentations of Banach algebras and Hirzebruch type formulae, Mat. Sbornic 111 (1980), 209-226. | MR | Zbl

[38] H. Moscovici - Cyclic cohomology and invariants of non-simply connected manifolds, Proc. I.C.M. Kyoto (1990), à paraître. | Zbl

[39] S. P. Novikov - Analogues hermitiens de la K -théorie, Actes, Congrès Intern. Math. 2 (1970), 39-45. | MR | Zbl

[40] M. Pimsner - K K -groups of crossed products by groups acting on trees, Inv. Math. 86 (1986), 603-634. | EuDML | MR | Zbl

[41] H. D. Rees - Special manifolds and Novikov's conjecture, Topology 22(1983), 365-378. | MR | Zbl

[42] J. Rosenberg - C * -algebras, positive scalar curvature and the Novikov conjecture, Publ. Math. I.H.E.S. 58 (1983), 409-424. | EuDML | Numdam | MR | Zbl

[43] Yu. P. Solov'Ev - Uspekhi Matem. Nauk. 31 n° 1 (1976), 261-262. | Zbl

[44] Yu. P. Solov'Ev - Thèse. Université de Moscou (1976).

[45] S. Weinberger - Aspects of the Novikov conjecture, Contemp. Math. 105 (1990), 281-297. | MR | Zbl