Irreducible representations of inseparable \(C^*\)-algebras
type: Item
instance of: scholarly article
title: Irreducible representations of inseparable \(C^*\)-algebras
zbMATH Open document ID: 0554.46025
DOI: 10.1216/RMJ-1984-14-3-721
author: Charles J. K. Batty
published in: Rocky Mountain Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: Irreducible representations of a \(C^*\)-algebra are shown to induce irreducible representations on certain arbitrarily large separable subalgebras. Many structural properties of \(C^*\)-algebras, such as liminality, antiliminality, simplicity and primeness, can also be reduced to separable subalgebras. Such results have been applied by \textit{B. Blackadar} [Indiana Univ. Math. J. 27, 1021-1026 (1978; Zbl 0393.46047)] and \textit{G. A. Elliott} and \textit{L. Zsidó} [J. Oper. Theor. 8, 227-277 (1982; Zbl 0515.46056)].
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 3883029
zbMATH Keywords: Irreducible representations of a \(C^*\)-algebra
zbMATH Keywords: liminality
zbMATH Keywords: antiliminality
zbMATH Keywords: simplicity
zbMATH Keywords: primeness
MaRDI profile type: Publication
full work available at URL: rmj-1984-14-3-721
OpenAlex ID: W2014348581
description: scientific article; zbMATH DE number 3883029