Induced Representations and Hypergroupoids
Copyright policy )Induced Representations and Hypergroupoids
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
\(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, groupoids, Morita equivalence, Mathematics - Operator Algebras, Induced representations for locally compact groups, hypergroupoids, \(C^*\)-modules, \(C^*\)-correspondences, 22D30, 22D25, 46L08, FOS: Mathematics, Representation Theory (math.RT), Operator Algebras (math.OA), Mathematics - Representation Theory, Topological groupoids (including differentiable and Lie groupoids)
\(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, groupoids, Morita equivalence, Mathematics - Operator Algebras, Induced representations for locally compact groups, hypergroupoids, \(C^*\)-modules, \(C^*\)-correspondences, 22D30, 22D25, 46L08, FOS: Mathematics, Representation Theory (math.RT), Operator Algebras (math.OA), Mathematics - Representation Theory, Topological groupoids (including differentiable and Lie groupoids)
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