The Baum-Connes Conjecture via Localisation of Categories
K-Theory and Homology
2015-10-23 v3
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.
Cite
@article{arxiv.math/0312292,
title = {The Baum-Connes Conjecture via Localisation of Categories},
author = {Ralf Meyer and Ryszard Nest},
journal= {arXiv preprint arXiv:math/0312292},
year = {2015}
}