Journal of Noncommutative Geometry
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Published online: 2016-03-22
On the Baum–Connes conjecture for Gromov monster groupsMartin Finn-Sell (1) Universität Wien, Austria
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.
Keywords: Expander graphs, non-exact groups, topological groupoids, Baum–Connes conjecture
Finn-Sell Martin: On the Baum–Connes conjecture for Gromov monster groups. J. Noncommut. Geom. 10 (2016), 207-219. doi: 10.4171/JNCG/231