Nonamenability and Borel Paradoxical Decompositions for Locally Compact Groups

DOI10.2307/2045659zbMath0604.28011OpenAlexW4244149331MaRDI QIDQ3741843

Alan L. T. Paterson

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2045659

zbMATH Keywords

amenable locally compact groupsBorel paradoxical decompositiontopological analogue for Tarski's theorem

Mathematics Subject Classification ID

Descriptive set theory (03E15) Measures on groups and semigroups, etc. (43A05) Special aspects of infinite or finite groups (20F99) General properties and structure of locally compact groups (22D05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (3)

Amenability, extreme amenability, model-theoretic stability, and dependence property in integral logic ⋮ Computable paradoxical decompositions ⋮ About von Neumann's problem for locally compact groups

Cites Work

• Unnamed Item
• The Hausdorff paradox for general group actions
• Induced representation of locally compact groups. I
• Amenable Groups and Groups with the Fixed Point Property
• Some properties of locally compact groups
• The characteristic function of a sequence of sets and some of its applications

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