The Baum-Connes Conjecture via Localization of Categories

ISSN
0377-9017
Date Issued
2004
Author(s)
Nest, Ryszard
DOI
10.1007/s11005-004-1831-z
Abstract
We redefine the Baum-Connes assembly map using simplicial approximation in the equivariant Kasparov category. This interpretation is ideal for studying functorial properties and gives analogues of the Baum-Connes assembly map for all equivariant homology theories.