Hyperfinite actions on countable sets and probability measure spaces
Group Theory
2011-07-12 v3 Functional Analysis
Abstract
We introduce the notion of hyperfiniteness for permutation actions of countable groups on countable sets and give a geometric and analytic characterization, similar to the known characterizations for amenable actions. We also answer a question of van Douwen on actions of the free group on two generators on countable sets.
Keywords
Cite
@article{arxiv.1105.3200,
title = {Hyperfinite actions on countable sets and probability measure spaces},
author = {Miklos Abert and Gabor Elek},
journal= {arXiv preprint arXiv:1105.3200},
year = {2011}
}
Comments
19 pages, added a more general result and corrected typos