On actions of amenable groups on \(II_ 1\)-factors (Q803890)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On actions of amenable groups on \(II_ 1\)-factors |
scientific article; zbMATH DE number 4198838
| Language | Label | Description | Also known as |
|---|---|---|---|
| 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)
0 references
1990
0 references
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).
0 references
separable
0 references
free action of a countable amenable discrete group
0 references
crossed product
0 references
property \(\Gamma \)
0 references
McDuff
0 references
0 references