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

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

2006-01-24

arxiv.org/abs/math/0601587v2

J. Pure Appl. Algebra 212 (2008), no. 5, 1046-1059.

Mathematics

K-Theory and Homology

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

Scientific paper

10.1016/j.jpaa.2007.07.019

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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