Let G be a locally compact groupoid. If X is a free and proper G-space, then 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.
Soit G un groupoïde localement compact. Si X est un G-espace qui est libre et propre, alors est un groupoïde équivalent à G. On considère la situation où X est seulement propre. Le formalisme des C*-algèbres de groupoïdes permet dʼassocier des C*-algèbres à ce nouvel objet.
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Rohit Dilip Holkar 1; Jean Renault 2
@article{CRMATH_2013__351_23-24_911_0, author = {Rohit Dilip Holkar and Jean Renault}, title = {Hypergroupoids and {C*-algebras}}, journal = {Comptes Rendus. Math\'ematique}, pages = {911--914}, publisher = {Elsevier}, volume = {351}, number = {23-24}, year = {2013}, doi = {10.1016/j.crma.2013.11.003}, language = {en}, }
Rohit Dilip Holkar; Jean Renault. Hypergroupoids and C*-algebras. Comptes Rendus. Mathématique, Volume 351 (2013) no. 23-24, pp. 911-914. doi : 10.1016/j.crma.2013.11.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.11.003/
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