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

2006/01/31 by Ruben Sanchez-Garcia · 2 citations
Mathematics · #math.KT #math.AT #msc:19L47 #msc:55N91 #msc:19K99 #msc:46L80

paper · pdf · doi:10.1016/j.jpaa.2007.07.019

published as J. Pure Appl. Algebra 212 (2008), no. 5, 1046-1059. · 16 pages, 2 figures; v2 - one reference updated, submitted to K-Theory

arxiv created 2006/04/18 · arxiv updated 2009/12/01

Abstract

We obtain the equivariant K-homology of the classifying space \underlineESL(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.

Cited by

• Twisted equivariant K- Theory and K-Homology of Sl3(Z)
• Equivariant K-Theory of Central Extensions and Twisted Equivariant K-theory: Sl3(Z) and St3(Z)