Hypergroupoids and C*-algebras

Rohit Dilip Holkar; Jean Renault

doi:10.1016/j.crma.2013.11.003

Hypergroupoids and C*-algebras

Operator Algebras 2014-03-17 v1

Authors: 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.

Keywords

c*-algebra c*-algebras graph algebras

Cite

@article{arxiv.1403.3424,
  title  = {Hypergroupoids and C*-algebras},
  author = {Rohit Dilip Holkar and Jean Renault},
  journal= {arXiv preprint arXiv:1403.3424},
  year   = {2014}
}

Comments

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

Hypergroupoids and C*-algebras

Abstract

Keywords

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