It is shown, that for the action of a σ-compact group, being amenable as an abstract discrete group, on a locally compact measure space (X, β, μ), μ 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.
|Original language||English (US)|
|Number of pages||5|
|Journal||Monatshefte für Mathematik|
|State||Published - Jun 1985|
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