Amenable actions of inverse semigroups
Operator Algebras
2015-10-14 v2 Group Theory
Rings and Algebras
Abstract
We say that an action of a countable discrete inverse semigroup on a locally compact Hausdorff space is amenable if its groupoid of germs is amenable in the sense of Anantharaman-Delaroche and Renault. We then show that for a given inverse semigroup , the action of on its spectrum is amenable if and only if every action of is amenable.
Keywords
Cite
@article{arxiv.1411.2506,
title = {Amenable actions of inverse semigroups},
author = {Ruy Exel and Charles Starling},
journal= {arXiv preprint arXiv:1411.2506},
year = {2015}
}
Comments
9 pages. Version 2 adds references and fixes typos. This version to appear in Ergodic Theory and Dynamical Systems