On KMS states for self-dual CCR algebras and Bogoliubov automorphism groups

DOI10.1017/S0305004100070249zbMath0743.46077OpenAlexW1983244758MaRDI QIDQ3977027

Hidekazu Ogi

Publication date: 25 June 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100070249

zbMATH Keywords

KMS statesquasi-free states\(*\)-algebra of unbounded operatorsBogoliubov automorphism groupsself-dual CCR algebras

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) States of selfadjoint operator algebras (46L30) Automorphisms of selfadjoint operator algebras (46L40) Applications of functional analysis in statistical physics (46N55)

Related Items (1)

The normality of strongly positive states on the CCR algebra

Cites Work

• An unbounded generalization of the Tomita-Takesaki theory
• Self-adjoint algebras of unbounded operators
• On quasifree states of the canonical commutation relations. I
• On quasifree states of the canonical commutation relations. II

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