Title:
Equivariant K-homology for some Coxeter groups
Author:
Ruben Sanchez-Garcia
Author's address:
Department of Pure Maths, Hicks Building
University of Sheffield
Sheffield S3 7RH, United Kingdom
Included eps files:
hexagon3.eps
hexagon4.eps
interval.eps
tessellation0.eps
trianglesd2.eps
AMS classification number:
19L47, 55N91 (Primary); 19K99, 46L80 (Secondary)
Other useful information:
arXiv:math.KT/0604402
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.