paper

On the amenability of partial and enveloping actions

arXiv:0906.1562

Abstract

We prove that a partial action is amenable if and only if so is its Morita enveloping action. As applications we prove that any partial representation of a discrete group is positive definite, and we extend a result of Zeller-Meier concerning the amenability of discrete groups and the existence of invariant states to partial actions.

5 pages, to appear in the Proc. of the AMS

On the amenability of partial and enveloping actions · wovepaper