# Hypergroupoids and C*-algebras

1 CRC
NAM - Mathematics Department [Gottingen]
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.
keyword :

https://hal.archives-ouvertes.fr/hal-00963866
Contributor : Jean Renault <>
Submitted on : Saturday, March 22, 2014 - 5:25:30 PM
Last modification on : Monday, May 25, 2020 - 6:02:04 PM

### Identifiers

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

### Citation

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⟩

Record views