# Groupoids associated to semigroup actions

* Corresponding author
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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https://hal.archives-ouvertes.fr/hal-00963865
Contributor : Jean Renault <>
Submitted on : Monday, February 29, 2016 - 8:38:44 PM
Last modification on : Thursday, May 3, 2018 - 3:32:07 PM
Document(s) archivé(s) le : Monday, May 30, 2016 - 3:09:38 PM

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1402.2762v2.pdf
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### Identifiers

• HAL Id : hal-00963865, version 1
• ARXIV : 1402.2762

### Citation

Jean Renault, S. Sundar. Groupoids associated to semigroup actions. Journal of Operator Theory, 2015, Journal of Operator Theory, 73 (2), pp.491-514. ⟨hal-00963865⟩

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