The ergodic decomposition defined by actions of amenable groups, part II: more about the role played by the ergodic invariant probability measures in the decomposition

DOI10.4064/BA210527-11-10zbMath1491.37006OpenAlexW3209963345WikidataQ114022052 ScholiaQ114022052MaRDI QIDQ5035321

Radu Zaharopol

Publication date: 21 February 2022

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba210527-11-10

zbMATH Keywords

invariant measureergodic decompositionergodic measureamenable locally compact separable metric grouptempered Følner sequence

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) General groups of measure-preserving transformations (28D15) Ergodic theorems, spectral theory, Markov operators (37A30) Means on groups, semigroups, etc.; amenable groups (43A07) General groups of measure-preserving transformations and dynamical systems (37A15) Measurable group actions (22F10)

Cites Work

• An ergodic decomposition defined by transition probabilities
• Pointwise theorems for amenable groups.
• Ergodic decompositions associated with regular Markov operators on Polish spaces
• The ergodic decomposition defined by actions of amenable groups

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