Invariant conditional expectations and unique ergodicity for Anzai skew-products

DOI10.1007/s00025-022-01785-3OpenAlexW3194484982MaRDI QIDQ2102737

Simone Del Vecchio, Stefano Rossi, Francesco Fidaleo

Publication date: 29 November 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.11938

zbMATH Keywords

conditional expectationsergodic dynamical systemsunique ergodicityskew-productsfixed-point subalgebras

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) States of selfadjoint operator algebras (46L30) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (2)

On truncated \(t\)-free Fock spaces: spectrum of position operators and shift-invariant states ⋮ On the monotone \(C^\ast \)-algebra

Cites Work

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• On Uniform Convergence in the Wiener-Wintner Theorem
• Ergodic properties of the Anzai skew-product for the non-commutative torus
• AN ERGODIC THEOREM FOR QUANTUM DIAGONAL MEASURES
• Strict Ergodicity and Transformation of the Torus

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