Equivariant K-homology for some Coxeter groups

Details Equivariant K-homology for some Coxeter groups Equivariant K-homology for some Coxeter groups

2006-04-18

arxiv.org/abs/math/0604402v1

J. Lond. Math. Soc. (2) 75 (2007), no. 3, 773-790

Mathematics

K-Theory and Homology

22 pages, 5 figures

Scientific paper

10.1112/jlms/jdm035

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.

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