Hypergroupoids and C*-algebras

Rohit Dilip Holkar (1) , Jean Renault (2)

1 CRC
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

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.

Mots clés: hypergroup; Hecke algebra

Domaines: Algèbres d'opérateurs [math.OA]

Rohit Dilip Holkar, Jean Renault. Hypergroupoids and C*-algebras. CRAS Compte Rendu Académie des Sciences, 2013, C. R. Acad. Sci. Paris, Ser I, 351, pp.4. ⟨hal-00963866⟩