Positive projections of von Neumann algebras onto \(JW\)-algebras
type: Item
instance of: scholarly article
title: Positive projections of von Neumann algebras onto \(JW\)-algebras
zbMATH Open document ID: 0977.46045
DOI: 10.1016/0034-4877(96)83628-7
author: Uffe Haagerup
author: Erling Størmer
published in: Reports on Mathematical Physics
publication date: 2002-01-27T00:00:00Z
review text: Let \(N\) be a von Neumann algebra. We consider faithful normal positive linear idempotant unital maps from \(N\) into itself. The range of such a map is a Jordan algebra \(A\). We show the existence and structure theorems for such maps and for conditional expectations of \(N\) onto the von Neumann algebra generated by \(A\).
Mathematics Subject Classification ID: 46L70
Mathematics Subject Classification ID: 17C65
zbMATH DE Number: 1087279
zbMATH Keywords: von Neumann algebra
zbMATH Keywords: linear idempotant unital maps
zbMATH Keywords: Jordan algebra
zbMATH Keywords: existence
zbMATH Keywords: structure theorems
reviewed by: Antonio Fernández López
MaRDI profile type: Publication
full work available at URL: 0034-4877(96)83628-7
OpenAlex ID: W2060639056
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description: scientific article; zbMATH DE number 1087279