Hypergroupoids and C*-algebras

Rohit Dilip Holkar; Jean Renault

doi:10.1016/j.crma.2013.11.003

paper

Hypergroupoids and C*-algebras

arXiv:1403.3424 · doi:10.1016/j.crma.2013.11.003

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.

This is the authors' English version of a work that was published in Comptes rendus-Mathématique [Ser. I 351 (2013) 911-914]. References [5,6,10,12] have been added since publication