Biblio KASPAROV Gennadi

1998	Higson Nigel, Kasparov Gennadi, Trout Jody A Bott periodicity theorem for infinite-dimensional Euclidean space, Adv. Math. 135, no. 1, 1--40, 1998	[HKT98]
1997	Higson Nigel, Kasparov Gennadi Operator K-theory for groups which act properly and isometrically on Hilbert space, Electron. Res. Announc. Amer. Math. Soc. 3, 131--142 (electronic), 1997	[HK97]
1995	Julg Pierre, Kasparov Gennadi Operator K-theory for the group SU(n,1), J. Reine Angew. Math. 463, 99--152, 1995	[KJ95]
	Kasparov Gennadi K-theory, group C^*-algebras, and higher signatures (conspectus), Novikov conjectures, index theorems and rigidity, Vol. 1 (Oberwolfach, 1993), 101--146, London Math. Soc. Lecture Note Ser., 226, Cambridge Univ. Press, Cambridge, 1995
1994	Kasparov Guennadi, Skandalis Georges Groupes "boliques" et conjecture de Novikov ["Bolic" groups and Novikov's conjecture], C. R. Acad. Sci. Paris Sér. I Math. 319, no. 8, 815--820, 1994	[KS]
1993	Kasparov Gennadi Novikov's conjecture on higher signatures: the operator K-theory approach, Representation theory of groups and algebras, 79--99, Contemp. Math., 145, Amer. Math. Soc., Providence, RI, 1993
1991	Julg Pierre, Kasparov Gennadi L'anneau KK_G(C,C) pour G=SU(n,1) [The ring KK_G( C, C) for G=SU(n,1)], C. R. Acad. Sci. Paris Sér. I Math. 313, no. 5, 259--264, 1991
	Kasparov Guennadi, Skandalis Georges Groups acting on buildings, operator K-theory, and Novikov's conjecture, K-Theory 4, no. 4, 303--337, 1991
	Kasparov Gennadi Relative K-homology and K-homology of an ideal, K-Theory 5, no. 1, 47--49, 1991
1990	Kasparov Guennadi, Skandalis Georges Groupes agissant sur des immeubles de Bruhat-Tits, K-théorie opératorielle et conjecture de Novikov [Groups acting on Bruhat-Tits buildings, operator K-theory and Novikov's conjecture], C. R. Acad. Sci. Paris Sér. I Math. 310, no. 4, 171--174, 1990
1988	Kasparov Gennadi Equivariant KK-theory and the Novikov conjecture, Invent. Math. 91, no. 1, 147--201, 1988
1985	Gorbachëv N. V., Kasparov Gennadi Extensions connected with group C^*-algebras (Russian), Uspekhi Mat. Nauk 40, no. 2(242), 173--174, 1985
	Kasparov Gennadi Operator K-theory and its applications (Russian), Current problems in mathematics. Newest results, Vol. 27, 3--31, 232, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1985
1984	Kasparov Gennadi Lorentz groups: K-theory of unitary representations and crossed products (Russian), Dokl. Akad. Nauk SSSR 275, no. 3, 541--545, 1984
	Kasparov Gennadi Operator K-theory and its applications: elliptic operators, group representations, higher signatures, C^*-extensions, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), 987--1000, PWN, Warsaw, 1984
1983	Kasparov Gennadi Index of invariant elliptic operators, K-theory and representations of Lie groups (Russian), Dokl. Akad. Nauk SSSR 268, no. 3, 533--537, 1983
1980	Kasparov Gennadi The operator K-functor and extensions of C^*-algebras (Russian), Izv. Akad. Nauk SSSR Ser. Mat. 44, no. 3, 571--636, 719, 1980
	Kasparov Gennadi Hilbert C^*-modules: theorems of Stinespring and Voiculescu, J. Operator Theory 4, no. 1, 133--150, 1980
1979	Kasparov Gennadi The K-functors in the theory of extensions of C^*-algebras (Russian), Funktsional. Anal. i Prilozhen. 13, no. 4, 73--74, 1979
1975	Kasparov Gennadi Topological invariants of elliptic operators. I. K-homology (Russian), Math. USSR-Izv. 9 (1975), no. 4, 751--792 (1976).; translated from Izv. Akad. Nauk SSSR Ser. Mat. 39 (1975), no. 4,796--838 (Russian), 1975
1973	Kasparov Gennadi A generalized index for elliptic operators (Russian), Funkcional. Anal. i Prilo\v zen. 7, no. 3, 82--83, 1973
1970	Kasparov Gennadi The homotopy invariance of rational Pontrjagin numbers (Russian), Dokl. Akad. Nauk SSSR 190, 1022--1025, 1970
1969	Kasparov Gennadi Invariants of classical lens manifolds in cobordism theory (Russian), Izv. Akad. Nauk SSSR Ser. Mat. 33, 735--747, 1969

Thèses

Année	Publications	Files	Type
	Kasparov Gennadi. K-theoretic index theorems for elliptic and transversally elliptic operators. Journal of K-theory, à paraître.		ACL
2006	Kasparov Gennadi, Yu Guoliang. The coarse geometric Novikov conjecture and uniform convexity. Adv. Math. 206, no. 1, 1--56, 2006.		ACL
2003	Kasparov Gennadi, Skandalis Georges. Groups acting properly on "bolic" spaces and the Novikov conjecture. Ann. of Math. (2) 158, no. 1, 165--206, 2003.		ACL
2001	Kasparov Gennadi, Higson Nigel. E-theory and KK-theory for groups which act properly and isometrically on Hilbert space. Invent. Math. 144, 23--74, 2001		ACL

1974	Invariants topologiques des opérateurs elliptiques, Thèse de candidat ès Sciences Physiques et Mathématiques, Directeur de thèse : Prof. S.Novikov, Université de Moscou.
1984	Théorie des extensions des C^*-algèbres, Thèse de doctorat ès Sciences Physiques et Mathématiques, Institut de Mathématiques de l'Académie des Sciences de l'URSS, Kiev.