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Bredon homology and equivariant K-homology of SL(3,Z)

Bredon homology and equivariant K-homology of SL(3,Z)
Bredon homology and equivariant K-homology of SL(3,Z)
We obtain the equivariant K-homology of the classifying space underline{E}SL(3,Z) from the computation of its Bredon homology with respect to finite subgroups and coefficients in the representation ring. We also obtain the corresponding results for GL(3,Z). Our calculations give therefore the topological side of the Baum-Connes conjecture for these groups
1046-1059
Sanchez-Garcia, Ruben
8246cea2-ae1c-44f2-94e9-bacc9371c3ed
Sanchez-Garcia, Ruben
8246cea2-ae1c-44f2-94e9-bacc9371c3ed

Sanchez-Garcia, Ruben (2008) Bredon homology and equivariant K-homology of SL(3,Z). Journal of Pure and Applied Algebra, 212 (5), 1046-1059. (doi:10.1016/j.jpaa.2007.07.019).

Record type: Article

Abstract

We obtain the equivariant K-homology of the classifying space underline{E}SL(3,Z) from the computation of its Bredon homology with respect to finite subgroups and coefficients in the representation ring. We also obtain the corresponding results for GL(3,Z). Our calculations give therefore the topological side of the Baum-Connes conjecture for these groups

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e-pub ahead of print date: 27 September 2007
Published date: May 2008
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 338213
URI: http://eprints.soton.ac.uk/id/eprint/338213
PURE UUID: 3703699f-06a6-4d46-9520-a2da387fe41e
ORCID for Ruben Sanchez-Garcia: ORCID iD orcid.org/0000-0001-6479-3028

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Date deposited: 11 May 2012 13:51
Last modified: 15 Mar 2024 03:36

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