Nuclear maps and modular structures. I: General properties
type: Item
instance of: scholarly article
title: Nuclear maps and modular structures. I: General properties
zbMATH Open document ID: 0705.46033
DOI: 10.1016/0022-1236(90)90104-S
author: Detlev Buchholz
author: Claudio D'Antoni
author: Roberto Longo
published in: Journal of Functional Analysis
publication date: 1990-01-01T00:00:00Z
review text: With every inclusion of von Neumann algebras \(A\subset B\) one can associate a natural embedding \(\phi\) : \(L^{\infty}(A)\to L^ p(B)\). Then the split property of \(A\subset B\) (existence of an intermediate type I factor) is closely related to nuclearity and compactness properties of \(\phi\).
Mathematics Subject Classification ID: 46L35
Mathematics Subject Classification ID: 46L51
Mathematics Subject Classification ID: 46L53
Mathematics Subject Classification ID: 46L54
Mathematics Subject Classification ID: 47B10
zbMATH DE Number: 4157273
zbMATH Keywords: inclusion of von Neumann algebras
zbMATH Keywords: natural embedding
zbMATH Keywords: split property
zbMATH Keywords: nuclearity
zbMATH Keywords: compactness
reviewed by: Albrecht Pietsch
MaRDI profile type: Publication
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full work available at URL: 0022-1236(90)90104-s
OpenAlex ID: W2046916117
description: scientific article; zbMATH DE number 4157273