-théorie bivariante de Kasparov
Séminaire Bourbaki (1982-1983)
- Volume: 25, page 149-166
- ISSN: 0303-1179
Access Full Article
topHow to cite
topFack, Thierry. "$K$-théorie bivariante de Kasparov." Séminaire Bourbaki 25 (1982-1983): 149-166. <http://eudml.org/doc/110004>.
@article{Fack1982-1983,
author = {Fack, Thierry},
journal = {Séminaire Bourbaki},
keywords = {-algebra, -module; homotopy; K-theory functor; K-homology; Kasparov KK-functor},
language = {fre},
pages = {149-166},
publisher = {Société Mathématique de France},
title = {$K$-théorie bivariante de Kasparov},
url = {http://eudml.org/doc/110004},
volume = {25},
year = {1982-1983},
}
TY - JOUR
AU - Fack, Thierry
TI - $K$-théorie bivariante de Kasparov
JO - Séminaire Bourbaki
PY - 1982-1983
PB - Société Mathématique de France
VL - 25
SP - 149
EP - 166
LA - fre
KW - -algebra, -module; homotopy; K-theory functor; K-homology; Kasparov KK-functor
UR - http://eudml.org/doc/110004
ER -
References
top- [1] M.F. AtiyahK-Theory. W.A. Benjamin, Inc.New-York-Amsterdam. 1967. Zbl0159.53302MR224083
- [2] M.F. AtiyahGlobal theory of elliptic operators. Proc. Conf. on Functional Analysis and related topics. Univ. of Tokyo Press. Tokyo. 1970. Zbl0193.43601MR266247
- [3] M.F. Atiyah and I.M. SingerThe index of elliptic operators I. Ann. of Math.87 (1968). 484-530. Zbl0164.24001MR236950
- [4] P. Baum and R. DouglasK-homology and index theory. Proceedings of the Kingston AMS Summer Institute. Zbl0532.55004
- [5] L.G. Brown, R.G. Douglas and P.A. FillmoreExtensions of C*-algebras and K-homology. Ann. Math. (2). 105 (1977). 265-324. Zbl0376.46036MR458196
- [6] M.D. Choi and E.G. EffrosThe completely positive lifting problem. Ann. Math.104 (1976). 585-609. Zbl0361.46067MR417795
- [7] A. ConnesSur la théorie non commutative de l'intégration. Lecture Notes in Math.725. Springer (1979). 19-143. Zbl0412.46053MR548112
- [8] A. ConnesAn analogue of the Thom isomotphism for crossed products of a C*-algebra by an action of IR. Adv. in Math.39 (1981). Zbl0461.46043MR605351
- [9] A. ConnesA survey of foliations and operator algebras. Proceedings of the Kingston AMS Summer Institute. Zbl0531.57023
- [10] A. Connes and G. SkandalisThe longitudinal index theorem for foliations. Preprint I.H.E.S.1982. MR775126
- [11] T. Fack and G. SkandalisConnes' Analogue of the Thom Isomorphism for the Kasparov groups. Inventiones Math.64 (1981). 7-14. Zbl0482.46043MR621767
- [12] G.G. KasparovHilbert C* modules: theorems of Stinespring and Voiculescu. Journal of Operator theory4 (1980). 133-150. Zbl0456.46059MR587371
- [13] G.G. KasparovOperator K-functor and extensions of C*-algebras. Math. USSR Izv.16 (1981). 513-572. Zbl0464.46054MR582160
- [14] G.G. KasparovK-Theory, group C*-algebras and higher signatures (Conspectus). Preprint Chernogolovka (1981). MR1388299
- [15] J. MilnorIntroduction to algebraic K-theory. Ann. of Math. Studies72. Princeton Univ. Press. (1971). Zbl0237.18005MR349811
- [16] A.S. MiščenkoHomotopy invariants of non simply connected manifolds I. Rational invariants. Math. USSR Izv.4 (1970). 506-519. Zbl0232.55015
- [17] A.S. MiščenkoInfinite dimensional representations of discrete groups and higher signatures. Math. USSR Izv.8 (1974). 85-111. Zbl0299.57010MR362407
- [18] A.S. MiščenkoC*-algebras and K-theory. Lectures Notes in Math.763. Springer Verlag1979. 262-274. Zbl0444.57014
- [19] A.S. Miščenko and A.T. FomenkoThe index of elliptic operators over C*-algebras. Math. USSR Izv.15 (1980). 87-112. Zbl0448.46039MR548506
- [20] A.S. Miščenko and J.P. Solov'evOn infinite dimensional representations of fundamental groups and formules of Hirzebruch type. Soviet Math. Dokl.18 (1977). 767-771. Zbl0376.57017MR494320
- [21] G.K. PedersenC*-algebras and their automorphism groups. Acad. Press. 1979. Zbl0416.46043MR548006
- [22] M. Pimsner and D. VoiculescuExact sequences for K groups and Ext groups of certain crossed product C*-algebras. J. Operator theory, 4 (1980). 93-118. Zbl0474.46059MR587369
- [23] G. SkandalisSome remarks on Kasparov theory. Preprint 1982. MR743845
- [24] W.F. StinespringPositive functions on C*-algebras. Proc. Amer. Math. Soc.6 (1955). 211-216. Zbl0064.36703MR69403
- [25] C.T.C. WallSurgery on compact Manifolds. Acad. Press. 1970. Zbl0219.57024MR431216
Citations in EuDML Documents
top- Claire Anantharaman-Delaroche, Classification des C*-algèbres purement infinies nucléaires
- Jonathan Rosenberg, Samuel Weinberger, Higher -indices and applications
- Georges Skandalis, Progrès récents sur la conjecture de Baum-Connes. Contribution de Vincent Lafforgue
- Georges Skandalis, Approche de la conjecture de Novikov par la cohomologie cyclique
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.