ON STRONG ERGODIC PROPERTIES OF QUANTUM DYNAMICAL SYSTEMS

DOI10.1142/S0219025709003884zbMath1180.37007arXiv0802.2076OpenAlexW2963251330MaRDI QIDQ3402042

Francesco Fidaleo

Publication date: 2 February 2010

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2076

zbMATH Keywords

free products with amalgamationergodic theory\(C^*\)-dynamical systems

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Ergodic theorems, spectral theory, Markov operators (37A30) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (11)

Symmetric states for C∗-Fermi systems ⋮ Relative ergodic properties of C*-dynamical systems ⋮ On the uniform convergence of ergodic averages for \(C^*\)-dynamical systems ⋮ Free joinings of \(C^{*}\)-dynamical systems ⋮ ERGODIC PROPERTIES OF BOGOLIUBOV AUTOMORPHISMS IN FREE PROBABILITY ⋮ Skew-product dynamical systems for crossed product \(C^\ast \)-algebras and their ergodic properties ⋮ Ergodic properties of the Anzai skew-product for the non-commutative torus ⋮ Reversible part of quantum dynamical systems: a review ⋮ ON TENSOR PRODUCTS OF WEAK MIXING VECTOR SEQUENCES AND THEIR APPLICATIONS TO UNIQUELY E-WEAK MIXING C^*-DYNAMICAL SYSTEMS ⋮ Approximations of non-homogeneous Markov chains on abstract states spaces ⋮ Exchangeable stochastic processes and symmetric states in quantum probability

Cites Work

• Unnamed Item
• KMS states and the chemical potential for disordered systems
• An example of a non nuclear C*-algebra, which has the metric approximation property
• Strict weak mixing of some \(C^{*}\)-dynamical systems based on free shifts
• Strictly ergodic models for dynamical systems

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