Non uniqueness of invariant means for amenable group actions (Q1061969)
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scientific article; zbMATH DE number 3911013
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non uniqueness of invariant means for amenable group actions |
scientific article; zbMATH DE number 3911013 |
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Non uniqueness of invariant means for amenable group actions (English)
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1985
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It is shown, that for the action of a \(\sigma\)-compact group, being amenable as an abstract discrete group, on a locally compact measure space (X,\(\beta\),\(\mu)\), \(\mu\) is not the unique invariant mean. Furthermore, this paper gives a characterisation of probability spaces, having a unique invariant mean for the action of an amenable group.
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invariant mean
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amenable group
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