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

Sanchez-Garcia, Ruben (2007) 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).


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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

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.jpaa.2007.07.019
ISSNs: 0022-4049 (print)
0975-7465 (electronic)
Subjects: Q Science > QA Mathematics
Divisions : Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics
ePrint ID: 338213
Accepted Date and Publication Date:
27 September 2007Made publicly available
May 2008Published
Date Deposited: 11 May 2012 13:51
Last Modified: 31 Mar 2016 14:27

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