Non uniqueness of invariant means for amenable group actions

DOI10.1007/BF01295668zbMath0571.43002MaRDI QIDQ1061969

Stefan Krasa

Publication date: 1985

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178242

zbMATH Keywords

invariant meanamenable group

Mathematics Subject Classification ID

Means on groups, semigroups, etc.; amenable groups (43A07) Set functions and measures on spaces with additional structure (28C99)

Related Items (3)

Amenable group actions on the integers; an independence result ⋮ Stabilizers of actions of lattices in products of groups ⋮ The Action of a Solvable Group on an Infinite Set Never has a Unique Invariant Mean

Cites Work

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• Algebra involutions on the bidual of a Banach algebra
• Finitely-additive invariant measures on Euclidean spaces
• For 𝑛>3 there is only one finitely additive rotationally invariant measure on the 𝑛-sphere defined on all Lebesgue measurable subsets
• Almost Invariant Sets
• Uniqueness of Invariant Means for Measure-Preserving Transformations

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