Equivariant KK-theory and the Novikov conjecture.

G.G. Kasparov

Inventiones mathematicae (1988)

  • Volume: 91, Issue: 1, page 147-202
  • ISSN: 0020-9910; 1432-1297/e

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Kasparov, G.G.. "Equivariant KK-theory and the Novikov conjecture.." Inventiones mathematicae 91.1 (1988): 147-202. <http://eudml.org/doc/143536>.

@article{Kasparov1988,
author = {Kasparov, G.G.},
journal = {Inventiones mathematicae},
keywords = {G-equivariant bivariant K-theory; Novikov conjecture; Kasparov theory; dual Dirac elements; Dirac operator; fundamental groups; representable K- homology; classifying space; split injective; torsionless subgroups; topological representation ring; crossed product C *-algebras},
number = {1},
pages = {147-202},
title = {Equivariant KK-theory and the Novikov conjecture.},
url = {http://eudml.org/doc/143536},
volume = {91},
year = {1988},
}

TY - JOUR
AU - Kasparov, G.G.
TI - Equivariant KK-theory and the Novikov conjecture.
JO - Inventiones mathematicae
PY - 1988
VL - 91
IS - 1
SP - 147
EP - 202
KW - G-equivariant bivariant K-theory; Novikov conjecture; Kasparov theory; dual Dirac elements; Dirac operator; fundamental groups; representable K- homology; classifying space; split injective; torsionless subgroups; topological representation ring; crossed product C *-algebras
UR - http://eudml.org/doc/143536
ER -

Citations in EuDML Documents

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  1. Alexandr Mishchenko, K-theory from the point of view of C*-algebras and Fredholm representations
  2. Marius Dadarlat, Wilhelm Winter, Trivialization of 𝒞 ( X ) -algebras with strongly self-absorbing fibres
  3. Mohamed Maghfoul, Sur la forte K -moyennabilité d’un groupoïde
  4. Éric Leichtnam, Paolo Piazza, The b -pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem
  5. Jérôme Chabert, Siegfried Echterhoff, Ryszard Nest, The Connes-Kasparov conjecture for almost connected groups and for linear p -adic groups
  6. Jean-Marie Lescure, Triplets spectraux pour les variétés à singularité conique isolée
  7. Pierre Albin, Éric Leichtnam, Rafe Mazzeo, Paolo Piazza, The signature package on Witt spaces
  8. Pierre Julg, Travaux de N. Higson et G. Kasparov sur la conjecture de Baum-Connes
  9. Erik Guentner, Nigel Higson, Shmuel Weinberger, The Novikov conjecture for linear groups
  10. Michel Matthey, Hervé Oyono-Oyono, Wolfgang Pitsch, Homotopy invariance of higher signatures and 3 -manifold groups

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