Approximation by unitaries with finite spectrum in purely infinite \(C^*\)-algebras
type: Item
instance of: scholarly article
title: Approximation by unitaries with finite spectrum in purely infinite \(C^*\)-algebras
zbMATH Open document ID: 0814.46048
author: N. Christopher Phillips
published in: Journal of Functional Analysis
publication date: 1995-06-12T00:00:00Z
review text: The author proves that a unital purely infinite simple \(C^*\)-algebra has \(C^*\)-exponential rank at most \(1+ \varepsilon\), and therefore has the property weak (FU): Every element of the identity component of the unitary group is norm limit of unitaries with finite spectrum. He also proves the appropriate modification of this statement for nonunital algebras.
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 599751
zbMATH Keywords: property (FS)
zbMATH Keywords: purely infinite simple \(C^*\)-algebra
zbMATH Keywords: \(C^*\)- exponential rank
zbMATH Keywords: property weak (FU)
MaRDI profile type: Publication
full work available at URL: jfan.1994.1025
OpenAlex ID: W2104168981
DOI: 10.1006/JFAN.1994.1025
description: scientific article; zbMATH DE number 599751