Reconstructing \(C^*\)-algebras from their Murray von Neumann orders
type: Item
instance of: scholarly article
title: Reconstructing \(C^*\)-algebras from their Murray von Neumann orders
zbMATH Open document ID: 0823.46053
author: Daniele Mundici
author: Roberto Cignoli
author: George A. Elliott
published in: Advances in Mathematics
publication date: 1994-01-26T00:00:00Z
review text: For a \(C^*\)-algebra \(A\) the Murray-von Neumann poset \(L(A)\) of \(A\) is the set of Murray-von Neumann equivalence classes of projections in \(A\), equipped with the natural order. The authors study the question of when \(L(A)\) determines \(A\) up to isomorphism. Other related questions are studied.
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 490811
zbMATH Keywords: Murray-von Neumann poset
zbMATH Keywords: Murray-von Neumann equivalence classes of projections
reviewed by: Vladimir V. Peller
MaRDI profile type: Publication
full work available at URL: aima.1993.1046
OpenAlex ID: W1968823650
DOI: 10.1006/AIMA.1993.1046
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description: scientific article; zbMATH DE number 490811