Ergodic properties of the Anzai skew-product for the non-commutative torus

DOI10.1017/etds.2019.116zbMath1473.37013arXiv1910.11839OpenAlexW2982203683WikidataQ114119518 ScholiaQ114119518MaRDI QIDQ4964766

Luca Giorgetti, Francesco Fidaleo, Stefano Rossi, Simone Del Vecchio

Publication date: 3 March 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11839

zbMATH Keywords

operator algebranoncommutative torusergodic dynamical systemskew-productunique ergodicity

Mathematics Subject Classification ID

Noncommutative topology (46L85) Ergodicity, mixing, rates of mixing (37A25) Noncommutative dynamical systems (46L55) Noncommutative geometry methods in quantum field theory (81T75) Ergodic theorems, spectral theory, Markov operators (37A30) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34) Quantizations, deformations for selfadjoint operator algebras (46L65) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (9)

Spectral and ergodic properties of completely positive maps and decoherence ⋮ Unnamed Item ⋮ Uniform ergodicities of Markov semigroups on abstract states spaces ⋮ On the uniform convergence of ergodic averages for \(C^*\)-dynamical systems ⋮ Skew-product dynamical systems for crossed product \(C^\ast \)-algebras and their ergodic properties ⋮ Generalized Dobrushin ergodicity coefficient and ergodicities of non-homogeneous Markov chains ⋮ Invariant conditional expectations and unique ergodicity for Anzai skew-products ⋮ On the monotone \(C^\ast \)-algebra ⋮ Approximations of non-homogeneous Markov chains on abstract states spaces

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