The Koopman Representation and Positive Rokhlin Entropy

DOI10.1093/IMRN/RNAB268OpenAlexW3203606726MaRDI QIDQ5871349

Brandon Seward

Publication date: 19 January 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05270

zbMATH Keywords

sofic entropygeneral countable groupsKoopman representation for actions

Mathematics Subject Classification ID

Geometric group theory (20F65) Ergodicity, mixing, rates of mixing (37A25) Ergodic theory on groups (22D40) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Automorphisms of infinite groups (20E36) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (4)

Krieger's finite generator theorem for actions of countable groups. I. ⋮ The work of Lewis Bowen on the entropy theory of non-amenable group actions ⋮ Positive entropy actions of countable groups factor onto Bernoulli shifts ⋮ Krieger's finite generator theorem for actions of countable groups. II

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