Topological amenability is a Borel property
Dynamical Systems
2013-04-09 v2 Operator Algebras
Abstract
We establish that a second countable locally compact groupoid possessing a continuous Haar system is topologically amenable if and only if it is Borel amenable. We give some examples and applications.
Cite
@article{arxiv.1302.0636,
title = {Topological amenability is a Borel property},
author = {Jean Renault},
journal= {arXiv preprint arXiv:1302.0636},
year = {2013}
}
Comments
21 pages, addition of a subsection on groupoid bundles and of some results on subexponential growth, some improvements in the presentation