A fixed-point theorem for definably amenable groups

We prove an analogue of the fixed-point theorem for the case of definably amenable groups.

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Bibliographic Details
Published inArchive for mathematical logic Vol. 60; no. 3-4; pp. 413 - 424
Main Authors Carmona, Juan Felipe, Dávila, Kevin, Onshuus, Alf, Zamora, Rafael
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2021
Springer Nature B.V
Subjects
Algebra
Fixed points (mathematics)
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Theorems
Definable groups
03C95
Definable amenability
Keisler measure
37B05
22F10
Fixed-point theorems
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Summary:We prove an analogue of the fixed-point theorem for the case of definably amenable groups.
ISSN:0933-5846
1432-0665
DOI:10.1007/s00153-020-00748-1