%0 Journal Article
%T On the amenability of partial and enveloping actions
%A Fernando Abadie
%A Laura Mart¨ª P¨¦rez
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0906.1562v1