Natural *-representations of inverse semigroups by operators
type: Item
instance of: scholarly article
title: Natural *-representations of inverse semigroups by operators
zbMATH Open document ID: 0673.47034
DOI: 10.1016/0021-8693(89)90036-7
author: Michael P. Drazin
published in: Journal of Algebra
publication date: 1989-01-01T00:00:00Z
review text: For an inverse semigroup S, the \(\lambda\) representation of S on \(\ell^ 2(S)\) is not a *-representation with respect to the standard inner product on \(\ell^ 2(S)\). The auhor finds another natural inner product (obtained by expressing a trace functional combinatorially) with respect to which \(\lambda\) is always a *-representation on \(\ell^ 2(S)\). The connections of this representation with the \(\pi\) representation of Barnes are discussed.
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 20M30
zbMATH DE Number: 4101938
zbMATH Keywords: inverse semigroup
zbMATH Keywords: representation
zbMATH Keywords: trace functional
zbMATH Keywords: *-representation
MaRDI profile type: Publication
full work available at URL: 0021-8693(89)90036-7
OpenAlex ID: W2012554305
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description: scientific article; zbMATH DE number 4101938