The Action of a Solvable Group on an Infinite Set Never has a Unique Invariant Mean

DOI10.2307/2001058zbMath0636.43001OpenAlexW4234712124MaRDI QIDQ3775994

Stefan Krasa

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001058

zbMATH Keywords

solvable groupinvariant meansamenable groups

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (3)

Action of amenable groups and uniqueness of invariant means ⋮ Uniqueness of means in the Cohen model ⋮ Groups of measure preserving transformations

Cites Work

• Non uniqueness of invariant means for amenable group actions
• Action of amenable groups and uniqueness of invariant means
• Different Types of Invariant Means
• Uniqueness of Invariant Means for Measure-Preserving Transformations
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