Abstract
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) |
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Pages (from-to) | 121-125 |
Number of pages | 5 |
Journal | Monatshefte für Mathematik |
Volume | 100 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1985 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics