An imprimitivity theorem for hypergroups
type: Item
instance of: scholarly article
title: An imprimitivity theorem for hypergroups
zbMATH Open document ID: 0638.43005
DOI: 10.1007/BF01418337
author: Ion Colojoară
published in: Mathematische Zeitschrift
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/183740
review text: Let K be a hypergroup, H a closed subgroup of K such that K/H is paracompact and U a representation of K in a Hilbert space E. Let \(P: C_ 0(K/H)\to B(E)\) be an essental *-representation of the algebra \(C_ 0(K/H)\) such that \(U(a)P(g)=P(_ ag)U(a)\) for all \(a\in K\) and \(g\in C_ 0(K/H)\). The author establishes the existence of a unitary mapping \(W: E\to F\) such that \(WU(a)=U(a)W\) and \(WP(g)=P(g)W\) for all \(a\in K\) and \(g\in C_ 0(K/H)\).
Mathematics Subject Classification ID: 43A65
Mathematics Subject Classification ID: 22D25
zbMATH DE Number: 4040529
zbMATH Keywords: hypergroup
zbMATH Keywords: Hilbert space
zbMATH Keywords: essental *-representation
zbMATH Keywords: unitary mapping
MaRDI profile type: Publication
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OpenAlex ID: W2138287674
description: scientific article; zbMATH DE number 4040529