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.
https://hal.archives-ouvertes.fr/hal-00963865
Contributeur : Jean Renault
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Soumis le : lundi 29 février 2016 - 20:38:44
Dernière modification le : jeudi 3 mai 2018 - 15:32:07
Document(s) archivé(s) le : lundi 30 mai 2016 - 15:09:38
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〉
