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On actions of amenable groups on \(II_ 1\)-factors - MaRDI portal

On actions of amenable groups on \(II_ 1\)-factors (Q803890)

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scientific article; zbMATH DE number 4198838
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English
On actions of amenable groups on \(II_ 1\)-factors
scientific article; zbMATH DE number 4198838

    Statements

    On actions of amenable groups on \(II_ 1\)-factors (English)
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    1990
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    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).
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    separable
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    free action of a countable amenable discrete group
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    crossed product
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    property \(\Gamma \)
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    McDuff
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