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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 057, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.057 (Mi sigma922) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Induced Representations and Hypergroupoids

Jean Renault

Université d’Orléans et CNRS (UMR 7349 et FR2964), Département de Mathématiques, F-45067 Orléans Cedex 2, France
Full-text PDF (411 kB) Citations (7)
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DOI: https://doi.org/10.3842/SIGMA.2014.057
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.
Keywords: groupoids; $C^*$-algebras; correspondences; induced representations; hypergroups.
Received: February 1, 2014; in final form May 26, 2014; Published online June 3, 2014
Bibliographic databases:
Document Type: Article
MSC: 22D30; 22D25; 22A22; 46L08
Language: English
Citation: Jean Renault, “Induced Representations and Hypergroupoids”, SIGMA, 10 (2014), 057, 18 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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