Equivariant K-homology for some Coxeter groups
Ruben Sanchez-Garcia
Abstract
We obtain the equivariant K-homology of the classifying space EW for W a right-angled or, more generally, an even Coxeter group. The key result is a formula for the relative Bredon homology of EW 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.
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