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

Author: Ruben Sanchez-Garcia

Address: 
	Department of Pure Maths, Hicks Building 
	University of Sheffield
	Sheffield S3 7RH, United Kingdom


Eps files:
	SouleFundamentalDomainLabelled.eps
	TruncatedCube.eps

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.

Status: Submitted to journal