The \(L^{\infty{}}\)-representation algebra of a foundation topological semigroup
type: Item
instance of: scholarly article
title: The \(L^{\infty{}}\)-representation algebra of a foundation topological semigroup
zbMATH Open document ID: 0766.22002
DOI: 10.1007/BF02567051
published in: Manuscripta Mathematica
publication date: 1993-05-16T00:00:00Z
full work available at URL: https://eudml.org/doc/155776
review text: For \(S\) a commutative topological semigroup, \(R(S)\) denotes the representation algebra generated by weak continuous representations of \(S\) in \(L^ \infty\) spaces, and \(S^ \wedge\) denotes the set of continuous semicharacters of \(S\). It is shown that for a large class of such semigroups \(S\), including all products of discrete semigroups and locally compact groups, the algebra \(R(S)\) is identical to the set of Gelfand transforms of bounded measures on \(S^ \wedge\).
reviewed by: John W.Baker
Mathematics Subject Classification ID: 22A25
Mathematics Subject Classification ID: 43A10
Mathematics Subject Classification ID: 22D25
zbMATH DE Number: 168951
zbMATH Keywords: commutative topological semigroup
zbMATH Keywords: representation algebra
zbMATH Keywords: weak continuous representations
zbMATH Keywords: continuous semicharacters
zbMATH Keywords: locally compact groups
zbMATH Keywords: Gelfand transforms
zbMATH Keywords: bounded measures
author: Mahmood Lashkarizadeh Bami
MaRDI profile type: Publication
cites work: Algebras of Measures on a Locally Compact Semigroup II
cites work: Representations of commutative semitopological semigroups
cites work: Q3226265
cites work: Representations of Foundation Semigroups and their Algebras
cites work: Q3701927
OpenAlex ID: W2298347262
description: scientific article; zbMATH DE number 168951