Title: 	Equivariant K-homology for some Coxeter groups

Author: Ruben Sanchez-Garcia

Address: 
	Department of Pure Maths, Hicks Building 
	University of Sheffield
	Sheffield S3 7RH, United Kingdom

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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.

Status: Submitted to journal