A Nonsingular Action of the Full Symmetric Group Admits an Equivalent Invariant Measure

DOI10.15407/MAG16.01.046zbMath1472.37002arXiv1811.05802OpenAlexW3014816298MaRDI QIDQ5854174

Unnamed Author

Publication date: 16 March 2021

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05802

zbMATH Keywords

invariant measureKoopman representationfull symmetric groupnonsingular automorphism

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) General groups of measure-preserving transformations (28D15) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General groups of measure-preserving transformations and dynamical systems (37A15) Measurable group actions (22F10) General theory of group and pseudogroup actions (22F05)

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