Induced Representations and Hypergroupoids

Abstract

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.

This paper is submitted to the special issue of the journal SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) in honor of Marc A. Rieffel

References in corpus (1)

• Hypergroupoids and C*-algebras

Cited by in corpus (3)

• Ground states of groupoid C*-algebras, phase transitions and arithmetic subalgebras for Hecke algebras
• Hypergroupoids and C*-algebras
• The Fredholm property for groupoids is a local property