Amenable group actions on the integers; an independence result

DOI10.1090/S0273-0979-1989-15815-1zbMath0694.28010OpenAlexW1988345168MaRDI QIDQ3469326

Matthew Foreman

Publication date: 1989

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1989-15815-1

zbMATH Keywords

invariant meanactionsamenable groups

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Probability theory on algebraic and topological structures (60B99) Means on groups, semigroups, etc.; amenable groups (43A07)

Cites Work

• Non uniqueness of invariant means for amenable group actions
• Some remarks on invariant means
• Set theory. An introduction to independence proofs
• Action of amenable groups and uniqueness of invariant means
• Finitely-additive invariant measures on Euclidean spaces
• Iterated perfect-set forcing
• Different Types of Invariant Means
• For 𝑛>3 there is only one finitely additive rotationally invariant measure on the 𝑛-sphere defined on all Lebesgue measurable subsets
• The Exact Cardinality of the Set of Invariant Means on a Group

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