On actions of amenable groups on \(II_ 1\)-factors
type: Item
instance of: scholarly article
title: On actions of amenable groups on \(II_ 1\)-factors
zbMATH Open document ID: 0726.46048
DOI: 10.1016/0022-1236(90)90149-F
published in: Journal of Functional Analysis
publication date: 1990-01-01T00:00:00Z
review text: Given a \(H_ 1\)-factor M with separable predual and \(\alpha\), a free action of a countable amenable discrete group G on M, we show that the crossed product \(M\times_{\alpha}G\) has property \(\Gamma\) (resp. is McDuff) when M itself has property \(\Gamma\) (resp. is McDuff).
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 46L35
zbMATH DE Number: 4198838
zbMATH Keywords: separable
zbMATH Keywords: free action of a countable amenable discrete group
zbMATH Keywords: crossed product
zbMATH Keywords: property \(\Gamma \)
zbMATH Keywords: McDuff
author: Erik Bédos
reviewed by: Roger Plymen
MaRDI profile type: Publication
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full work available at URL: 0022-1236(90)90149-f
OpenAlex ID: W2016330217
description: scientific article; zbMATH DE number 4198838