Asymptotic ratio set of von Neumann algebras generated by temperature states in statistical mechanics

DOI10.1016/0034-4877(77)90051-9zbMath0385.46039OpenAlexW2060845839MaRDI QIDQ1249327

Daniel Testard

Publication date: 1977

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(77)90051-9

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Classifications of (C^*)-algebras (46L35)

Related Items (5)

Unnamed Item ⋮ Asymptotic properties of von Neumann algebras ⋮ Notes on algebraic invariants for non-commutative dynamical systems ⋮ Automorphisms of Araki-Woods factors of type \(III_ 1\) ⋮ Automorphisms that commute with a modular automorphism

Cites Work

• Unnamed Item
• Comments on lightlike translations and applications in relativistic quantum field theory
• Relaxing the clustering condition in the derivation of the KMS property
• Homogeneity of the state space of factors of type \(III_1\)
• Unitary operators in \(C^ *\)-algebras
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• A classification of factors

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