Dynamical entropy of quasi-local algebras in quantum statistical mechanics

DOI10.1007/BF02099194zbMath0764.46056OpenAlexW1983498848MaRDI QIDQ1189216

Yong Moon Park, Hyun Hye Shin

Publication date: 26 September 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099194

zbMATH Keywords

approximately finitedynamical entropy of automorphisms of \(C^*\)-algebrasdynamical entropy of space translations for product statesKolmogorov-Sinai type theoremquasi-local algebras with a locally normal statetensor product propertyunbounded quantum lattice system

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60)

Related Items

Dynamical entropy of generalized quantum Markov chains ⋮ Entropy of quantum Markov states on Cayley trees ⋮ Dynamical entropy of generalized quantum Markov chains over infinite dimensional algebras ⋮ Dynamical entropy of space translations of CAR and CCR algebras with respect to quasi-free states

Cites Work

• Dynamical entropy and the third law of thermodynamics
• Dynamical entropy of quasifree automorphisms
• Quantum statistical mechanics for superstable interactions: Bose-Einstein statistics
• Dynamical entropy of C *-algebras and von Neumann algebras
• Entropy of Bogoliubov automorphisms of the canonical anticommutation relations
• Entropy for automorphisms of \(II_1\) von Neumann algebras
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item