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Hypergroupoids and C*-algebras

Abstract : Let $G$ be a locally compact groupoid. If $X$ is a free and proper $G$-space, then $(X*X)/G$ is a groupoid equivalent to $G$. We consider the situation where $X$ is proper but no longer free. The formalism of groupoid C*-algebras and their representations is suitable to attach C*-algebras to this new object.
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https://hal.archives-ouvertes.fr/hal-00963866
Contributor : Jean Renault <>
Submitted on : Saturday, March 22, 2014 - 5:25:30 PM
Last modification on : Monday, December 14, 2020 - 3:46:13 PM

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  • HAL Id : hal-00963866, version 1
  • ARXIV : 1403.3424

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Rohit Dilip Holkar, Jean Renault. Hypergroupoids and C*-algebras. CRAS Compte Rendu Académie des Sciences, Academie des sciences, 2013, C. R. Acad. Sci. Paris, Ser I, 351, pp.4. ⟨hal-00963866⟩

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