On the unitary equivalence of close \(C^ *\)-algebras
type: Item
instance of: scholarly article
title: On the unitary equivalence of close \(C^ *\)-algebras
zbMATH Open document ID: 0601.46056
author: Mahmood Khoshkam
published in: Michigan Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: Let A be a \(C^*\)-algebra which is either commutative or separable unital with a continuous trace. Suppose D and D' are subalgebras of a common \(C^*\)-algebra and D is an extension of A by the compacts. It is shown that if the Hausdorff distance between their unit balls is sufficiently small, then D and D' are unitarily equivalent.
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 3969406
zbMATH Keywords: perturbation
zbMATH Keywords: continuous trace
zbMATH Keywords: extension
zbMATH Keywords: Hausdorff distance
zbMATH Keywords: unitarily equivalent
reviewed by: Edward A. Azoff
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029003077
OpenAlex ID: W1979299270
DOI: 10.1307/MMJ/1029003077
description: scientific article; zbMATH DE number 3969406