Representations of chordal subalgebras of von Neumann algebras
type: Item
instance of: scholarly article
title: Representations of chordal subalgebras of von Neumann algebras
zbMATH Open document ID: 0713.46040
author: Paul S. Muhly
author: Baruch Solel
published in: Hokkaido Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: The objective of this note is to generalize the notion of ``chordal'' introduced recently for subalgebras of \(M_ n\) linearly spanned by the matrix units it contains to the context of von Neumann algebras M and to show if \({\mathcal F}\) is a \(\sigma\)-weakly closed subalgebra of M and if \({\mathcal F}\) is chordal triangular subalgebra and if M is hyperfinite, then every \(\sigma\)-weakly contractive representation of \({\mathcal F}\) is completely contractive.
reviewed by: Bolis Basit
Mathematics Subject Classification ID: 46L10
zbMATH DE Number: 4173681
zbMATH Keywords: chordal subalgebras of von Neumann algebras
zbMATH Keywords: chordal triangular subalgebra
zbMATH Keywords: hyperfinite
zbMATH Keywords: \(\sigma \) -weakly contractive representation
zbMATH Keywords: completely contractive
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1381517763
OpenAlex ID: W1997875321
DOI: 10.14492/HOKMJ/1381517763
description: scientific article; zbMATH DE number 4173681