Non-K-exact uniform Roe C*-algebras
Operator Algebras
2009-07-15 v1
Abstract
We prove that uniform Roe C*-algebras associated to some expander graphs coming from discrete groups with property (\tau) are not K-exact. In particular, we show that this is the case for the expander obtained as Cayley graphs of a sequence of alternating groups (with appropriately chosen generating sets).
Keywords
Cite
@article{arxiv.0907.2249,
title = {Non-K-exact uniform Roe C*-algebras},
author = {Jan Spakula},
journal= {arXiv preprint arXiv:0907.2249},
year = {2009}
}