Non uniqueness of invariant means for amenable group actions
type: Item
instance of: scholarly article
title: Non uniqueness of invariant means for amenable group actions
zbMATH Open document ID: 0571.43002
DOI: 10.1007/BF01295668
author: Stefan Krasa
published in: Monatshefte für Mathematik
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178242
review text: 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.
Mathematics Subject Classification ID: 43A07
Mathematics Subject Classification ID: 28C99
zbMATH DE Number: 3911013
zbMATH Keywords: invariant mean
zbMATH Keywords: amenable group
MaRDI profile type: Publication
cites work: Q5562332
cites work: Algebra involutions on the bidual of a Banach algebra
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cites work: For 𝑛>3 there is only one finitely additive rotationally invariant measure on the 𝑛-sphere defined on all Lebesgue measurable subsets
description: scientific article; zbMATH DE number 3911013