On the Baum-Connes conjecture for Gromov monster groups

2014/01/27 by Martin Finn-Sell, Finn-Sell, Martin
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #K-Theory and Homology (math.KT) #math.GR #math.KT

paper · pdf · doi:10.48550/arxiv.1401.6841

Simplified exposition and general improvements over the previous version

arxiv created 2014/09/21 · arxiv updated 2014/09/23

Abstract

We present a geometric approach to the Baum-Connes conjecture with coefficients for Gromov monster groups via a theorem of Khoskham and Skandalis. Secondly, we use recent results concerning the a-T-menability at infinity of large girth expanders to exhibit a family of coefficients for a Gromov monster group for which the Baum-Connes conjecture is an isomorphism.

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