Locally compact hypergroupoids
type: Item
instance of: scholarly article
title: Locally compact hypergroupoids
zbMATH Open document ID: 1465.43006
author: Seyyed Mohammad Tabatabaie
author: Massoud Amini
author: M. K. Hokmabad
author: Mahmood Pourgholamhossein
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2020-04-07T00:00:00Z
review text: The authors study locally compact hypergroupoids. Hypergroupoids generalize both hypergroups and groupoids. The authors assume the continuity of the map \((x, y) \mapsto \operatorname{supp}(\delta_{x} \ast \delta_{y})\) and show that the adjoint property in Renault's definition of the left Haar system follows automatically. Then, they show how to get some groupoid structures from a hypergroupoid. Finally, the authors study representations of hypergroupoids and show in particular that an irreducible representation of a compact hypergroupoid is fiberwise finite dimensional, generalizing a well-known result on compact groupoids and on compact hypergroups.
reviewed by: Ibrahima Toure
Mathematics Subject Classification ID: 43A62
Mathematics Subject Classification ID: 22A22
zbMATH DE Number: 7187877
zbMATH Keywords: hypergroups
zbMATH Keywords: groupoids
zbMATH Keywords: hypergroupoids
zbMATH Keywords: Haar system
zbMATH Keywords: irreducible representations
MaRDI profile type: Publication
full work available at URL: s13226-020-0383-y
OpenAlex ID: W3010710323
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DOI: 10.1007/S13226-020-0383-Y
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description: scientific article; zbMATH DE number 7187877