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arXiv · 1403.3424

Hypergroupoids and C*-algebras

Rohit Dilip Holkar·Jean Renault
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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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Rohit Dilip Holkar, Jean Renault. 2014-03-13. Hypergroupoids and C*-algebras. https://doi.org/10.1016/j.crma.2013.11.003

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