Equivariant K-homology for some Coxeter groups
K-Theory and Homology
2009-08-07 v1 Algebraic Topology
Abstract
We obtain the equivariant K-homology of the classifying space \underline{E}W for W a right-angled or, more generally, an even Coxeter group. The key result is a formula for the relative Bredon homology of \underline{E}W in terms of Coxeter cells. Our calculations amount to the K-theory of the reduced C^*-algebra of W, via the Baum-Connes assembly map.
Cite
@article{arxiv.math/0604402,
title = {Equivariant K-homology for some Coxeter groups},
author = {Ruben Sanchez-Garcia},
journal= {arXiv preprint arXiv:math/0604402},
year = {2009}
}
Comments
22 pages, 5 figures