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arXiv · 0906.1562

On the amenability of partial and enveloping actions

Fernando Abadie·Laura Martí Pérez
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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.

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Fernando Abadie, Laura Martí Pérez. 2009-06-08. On the amenability of partial and enveloping actions. https://arxiv.org/abs/0906.1562

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