Institut de Mathématiques de Luminy

BIBLIOGRAPHIE - Gennadi KASPAROV



Année
Publications
Files Type
  Kasparov Gennadi.
K-theoretic index theorems for elliptic and transversally elliptic operators.
Journal of K-theory, à paraître.
  ACL
2012 Kasparov Gennadi, Yu Guoliang.
The Novikov conjecture and geometry of Banach spaces.
Geom. Topol. 16, no. 3, 1859--1880, 2012.
PDF 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

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 KKG(C,C) pour G=SU(n,1) [The ring KKG( 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
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.
 



Last update : april 29, 2013, EL.