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

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.

arXiv comment16 pages, 2 figures; v2 - one reference updated, submitted to K-Theory

References in corpus (1)

• Equivariant K-homology for some Coxeter groups

Cited by in corpus (9)

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• Equivariant K-homology of Bianchi groups with non-trivial class group
• K-Theory for group C^*-algebras
• A description of the assembly map for the Baum-Connes conjecture with coefficients
• An introduction to torsion subcomplex reduction
• Bredon homology of wallpaper groups
• Equivariant K-Theory of Central Extensions and Twisted Equivariant K-theory: Sl3(Z) and St3(Z)