Dynamical entropy of space translations of CAR and CCR algebras with respect to quasi-free states

DOI10.1007/BF02096617zbMath0786.46049OpenAlexW2074954316MaRDI QIDQ1803202

Hyun Hye Shin, Yong Moon Park

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1007/bf02096617

zbMATH Keywords

dynamical entropies of the CAR and CCR algebrasmean entropiesquasi invariant free states

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) States of selfadjoint operator algebras (46L30)

Related Items

Dynamical entropy of generalized quantum Markov chains, Dynamical entropy of generalized quantum Markov chains over infinite dimensional algebras, ENTROPY OF BOGOLIUBOV AUTOMORPHISMS OF CAR AND CCR ALGEBRAS WITH RESPECT TO QUASI-FREE STATES, Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamical entropy and the third law of thermodynamics
• Quantum statistical mechanics for superstable interactions: Bose-Einstein statistics
• Dynamical entropy of C *-algebras and von Neumann algebras
• Conditional expectations in von Neumann algebras and a theorem of Takesaki
• Entropy of Bogoliubov automorphisms of the canonical anticommutation relations
• Dynamical entropy of quasi-local algebras in quantum statistical mechanics
• Entropy for automorphisms of \(II_1\) von Neumann algebras
• The completely positive lifting problem for \(C^*\)-algebras
• Quantum \(K\)-systems
• The entropy density of quasi free states
• States and automorphism groups of operator algebras
• Non-factor quasi-free states of the CAR-algebra
• On quasifree states of the canonical commutation relations. I