Algebraic K-systems
From MaRDI portal
Publication:2640107
DOI10.1007/BF00398366zbMath0719.46037OpenAlexW2028406835MaRDI QIDQ2640107
Publication date: 1990
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00398366
topological dynamicsnoncommutative dynamical systemJones' index\(C^ *\)-algebra with a one-parameter group of automorphismsnoncommutative K-systems
One-parameter semigroups and linear evolution equations (47D06) Noncommutative dynamical systems (46L55) Quantum equilibrium statistical mechanics (general) (82B10)
Related Items
EQUIVALENCE OF MODULAR K AND ANOSOV DYNAMICAL SYSTEMS ⋮ Quantized Arnold cat maps can be entropic K-systems ⋮ Anosov actions on noncommutative algebras ⋮ Deterministic quantum noise and Kolmogorov systems ⋮ A non-commutative version of the Arnold cat map ⋮ KOLMOGOROV SYSTEMS AND ANOSOV SYSTEMS IN QUANTUM THEORY ⋮ Time reversibility for modular \(K\)-systems ⋮ Tomita representations of quantum and classical mechanics in a bra/ket formulation ⋮ Clustering for algebraic \(K\)-systems
Cites Work
- Unnamed Item
- Mixing properties of quantum systems
- Noncommutative topological dynamics and compact actions on \(C^*\)- algebras
- Strong topological transitivity and \(C^*\)-dynamical systems
- Relative entropy of states of von Neumann algebras
- Entropy for automorphisms of \(II_1\) von Neumann algebras
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- Generalized K-flows
- Quantum \(K\)-systems
- Index for subfactors
- Transitivity and ergodicity of quantum systems.
- Conditional expectations in von Neumann algebras
- Entropy production for quantum dynamical semigroups