Exactness of locally compact groups
Group Theory
2017-03-23 v3 Operator Algebras
Abstract
We give some new characterizations of exactness for locally compact second countable groups. In particular, we prove that a locally compact second countable group is exact if and only if it admits a topologically amenable action on a compact Hausdorff space. This answers an open question by Anantharaman-Delaroche.
Cite
@article{arxiv.1603.01829,
title = {Exactness of locally compact groups},
author = {Jacek Brodzki and Chris Cave and Kang Li},
journal= {arXiv preprint arXiv:1603.01829},
year = {2017}
}
Comments
18 pages, to appear in Adv. Math