Equivariant K-homology for some Coxeter groups
Equivariant K-homology for some Coxeter groups
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.
773-790
Sanchez-Garcia, Ruben
8246cea2-ae1c-44f2-94e9-bacc9371c3ed
June 2007
Sanchez-Garcia, Ruben
8246cea2-ae1c-44f2-94e9-bacc9371c3ed
Sanchez-Garcia, Ruben
(2007)
Equivariant K-homology for some Coxeter groups.
Journal of the London Mathematical Society, 74 (3), .
(doi:10.1112/jlms/jdm035).
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.
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CoxeterGroups.pdf
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Published date: June 2007
Organisations:
Pure Mathematics
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Local EPrints ID: 338204
URI: http://eprints.soton.ac.uk/id/eprint/338204
ISSN: 0024-6107
PURE UUID: 79184def-f9af-449b-b7bb-5a0ca8967ca6
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Date deposited: 30 May 2012 10:51
Last modified: 15 Mar 2024 03:36
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