The Baum-Connes Conjecture via Localization of Categories

Preprint

19 April 2004

preprint
Published by arXiv in arXiv

Abstract

We redefine the Baum-Connes assembly map using simplicial approximation in the equivariant Kasparov category. This new interpretation is ideal for studying functorial properties and gives analogues of the assembly maps for all equivariant homology theories, not just for the K-theory of the crossed product. We extend many of the known techniques for proving the Baum-Connes conjecture to this more general setting.

Keywords

BAUM CONNES CONJECTURE
CONNES CONJECTURE
CONNES ASSEMBLY
ASSEMBLY MAPS
EQUIVARIANT
REDEFINE

All Related Versions

Version 1, 2003-12-15, ArXiv
Version 2, 2004-04-19, ArXiv
Version 3, 2005-02-10, ArXiv
Published version: Letters in Mathematical Physics, 69 (1-3), 237.

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