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arXiv · 1402.2762

Groupoids associated to semigroup actions

Jean Renault·S. Sundar
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Abstract

In this paper, we consider topological semigroup actions on compact topological spaces. Under mild assumptions on the semigroup and the action, we construct a semi-direct product groupoid with a Haar system. We also show that it is equivalent to a transformation groupoid. We apply this construction to the Wiener-Hopf $C^{*}$-algebras.

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Jean Renault, S. Sundar. 2014-02-12. Groupoids associated to semigroup actions. https://arxiv.org/abs/1402.2762

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