Induced representations and hypergroupoids

Jean Renault (1)

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

We review various notions of correspondences for locally compact groupoids with Haar systems, in particular a recent definition due to R. D. Holkar. We give the construction of the representations induced by such a correspondence. Finally, we extend the construction of induced representations to hypergroupoids.

Mots clés: C*-algebras; correspondences

Domaines: Algèbres d'opérateurs [math.OA]; Théorie des représentations [math.RT]

Jean Renault. Induced representations and hypergroupoids. Symmetry, Integrability and Geometry : Methods and Applications, 2014, 10 (057), pp.18. ⟨10.3842/SIGMA.2014.057⟩. ⟨hal-00963861⟩