Expanders are counterexamples to the $\ell^p$ coarse Baum-Connes conjecture
K-Theory and Homology
2023-04-19 v3 Metric Geometry
Operator Algebras
Abstract
We consider an coarse Baum-Connes assembly map for , and show that it is not surjective for expanders arising from residually finite hyperbolic groups.
Cite
@article{arxiv.1811.10457,
title = {Expanders are counterexamples to the $\ell^p$ coarse Baum-Connes conjecture},
author = {Yeong Chyuan Chung and Piotr W. Nowak},
journal= {arXiv preprint arXiv:1811.10457},
year = {2023}
}
Comments
25 pages. Final version, to appear in Journal of Noncommutative Geometry. Subsection 2.2 in the previous version has been moved to the appendix