Expanders, exact crossed products, and the Baum-Connes conjecture
K-Theory and Homology
2016-01-20 v3 Group Theory
Metric Geometry
Operator Algebras
Representation Theory
Abstract
We reformulate the Baum-Connes conjecture with coefficients by introducing a new crossed product functor for C*-algebras. All confirming examples for the original Baum-Connes conjecture remain confirming examples for the reformulated conjecture, and at present there are no known counterexamples to the reformulated conjecture. Moreover, some of the known expander-based counterexamples to the original Baum-Connes conjecture become confirming examples for our reformulated conjecture.
Cite
@article{arxiv.1311.2343,
title = {Expanders, exact crossed products, and the Baum-Connes conjecture},
author = {Paul Baum and Erik Guentner and Rufus Willett},
journal= {arXiv preprint arXiv:1311.2343},
year = {2016}
}
Comments
53 pages. Some (relatively minor) changes and corrections