Asymptotic properties of von Neumann algebras
type: Item
instance of: scholarly article
title: Asymptotic properties of von Neumann algebras
zbMATH Open document ID: 0631.46057
DOI: 10.1007/BF01103855
published in: Journal of Soviet Mathematics
publication date: 1987-01-01T00:00:00Z
review text: This is thorough review (consisting of five sections) of the construction, properties of use of the asymptotic algebra \(C^ U_ M\) associated to a factor M and a free ultrafilter U on \({\mathbb{N}}\). It presents first (in Sections 1 and 2) a detailed background on the modular theory, including some completions to author's previous results. The relevance of the structure of \(C^ U_ M\) to the analysis of M is described in the last two sections (including solutions to some problems of Connes and Woods on asymptotic abelianess of type III factors).
Mathematics Subject Classification ID: 46L35
Mathematics Subject Classification ID: 46L10
zbMATH DE Number: 4026142
zbMATH Keywords: asymptotic algebra
zbMATH Keywords: factor
zbMATH Keywords: free ultrafilter
author: V. Ya. Golodets
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4026142