Non uniqueness of invariant means for amenable group actions

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)121-125
Number of pages5
JournalMonatshefte für Mathematik
Issue number2
StatePublished - Jun 1985
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Non uniqueness of invariant means for amenable group actions'. Together they form a unique fingerprint.

Cite this