Free and residually finite-dimensional \(C^*\)-algebras
type: Item
instance of: scholarly article
title: Free and residually finite-dimensional \(C^*\)-algebras
zbMATH Open document ID: 0708.46051
DOI: 10.1016/0022-1236(90)90089-4
author: Pere Menal
author: Kenneth R. Goodearl
published in: Journal of Functional Analysis
publication date: 1990-01-01T00:00:00Z
review text: Any \(C^*\)-algebra B is the image of a residually finite-dimensional \(C^*\)-algebra A, i.e. A has a separating family of finite-dimensional representations. A satisfies the stable range 1 condition when B does. Any \(C^*\)-group algebra over a group which is a free product of free and finite groups is residually finite-dimensional.
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 20E05
Mathematics Subject Classification ID: 20E06
zbMATH DE Number: 4163547
zbMATH Keywords: Any \(C^ *\)-algebra is the image of a residually finite-dimensional \(C^ *\)-algebra
zbMATH Keywords: separating family of finite-dimensional representations
zbMATH Keywords: stable range 1 condition
reviewed by: Alfred Wehrl
MaRDI profile type: Publication
full work available at URL: 0022-1236(90)90089-4
OpenAlex ID: W2043557291
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description: scientific article; zbMATH DE number 4163547