Almost commuting unitary elements in purely infinite simple \(C^*\)- algebras
type: Item
instance of: scholarly article
title: Almost commuting unitary elements in purely infinite simple \(C^*\)- algebras
zbMATH Open document ID: 0835.46054
DOI: 10.1007/BF01461007
author: Huaxin Lin
published in: Mathematische Annalen
publication date: 1996-02-01T00:00:00Z
full work available at URL: https://eudml.org/doc/165383
review text: It is shown that, for any \(\varepsilon> 0\), there exists \(\delta> 0\) such that for any pair of unitaries (selfadjoints), \(u\), \(v\) in any purely infinite simple \(C^*\)-algebra \(A\), if \(|uv- vu|< \delta\), then there exists a pair of commuting unitaries (selfadjoints) \(U\), \(V\in A\) satisfying \(|u- U|< \varepsilon\) and \(|v- V|< \varepsilon\).
reviewed by: Huang Hua-Lin
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 46L80
Mathematics Subject Classification ID: 47C15
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 840202
zbMATH Keywords: almost commuting unitaries
zbMATH Keywords: almost commuting selfadjoints
zbMATH Keywords: purely infinite simple \(C^*\)-algebra
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 840202