Going-down Functors, the K ¨ Unneth Formula, and the Baum-connes Conjecture

  title={Going-down Functors, the K ¨ Unneth Formula, and the Baum-connes Conjecture},
  author={J{\'e}r{\^o}me Chabert and S Echterhoff and HERV{\'E} OYONO-OYONO}
We study the connection between the Baum-Connes conjecture for a locally compact group G with coefficient A and the Künneth formula for the K-theory of tensor products by the corresponding crossed product Ar G. The main tool for this is obtained by an application of a general Going-Down procedure which allows to analyze certain functors connected to the topological K-theory of a group in terms of their restrictions to compact subgroups. We also discuss several other interesting applications of… CONTINUE READING


Publications citing this paper.
Showing 1-3 of 3 extracted citations


Publications referenced by this paper.
Showing 1-8 of 8 references

A proof of the Baum - Connes conjecture for reductive adelic groups

R. Plymen
C . R . Acad . Sci . Paris Sér . I Math . • 2001

Counterexamples to the Baum - Connes conjecture

V. Lafforgue, G. Skandalis
Invent . Math . • 2001

Deux remarques sur la conjecture de Baum - Connes

S. Echterhoff, Ralf Meyer
Doc . Math . • 2001

E - theory and KK - theory for groups which act properly and isometrically on Hilbert space

G. Kasparov
Geom . Funct . Anal . • 2000

Topological methods for C ∗ - algebras II : Geometric resolutions and the Künneth formula

Pacific J . Math . • 1982

Equivariant E - theory for C ∗ - algebras

N. Higson, J. Trout
Acta Math . • 1978

Amenable groupoids

A. Connes Baum, N. Higson
Monographies de L ’ Enseignement Mathématique

Similar Papers

Loading similar papers…