Group duality and the Kubo-Martin Schwinger condition. II

DOI10.1007/BF02029140zbMath0503.46047OpenAlexW1986001777MaRDI QIDQ1173250

Daniel Kastler, Masamichi Takesaki

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02029140

zbMATH Keywords

statesunitary representationregular representationKMS conditionFourier-Stieltjes algebraequilibrium state of a quasilocal systeminvariance under the time evolutionnon- commutative dynamical group

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Duality theorems for locally compact groups (22D35) Miscellaneous applications of functional analysis (46N99)

Related Items (2)

KMS states and the chemical potential for disordered systems ⋮ The KMS condition and spectral passivity in group duality

Cites Work

• Unnamed Item
• Group duality and the Kubo-Martin-Schwinger condition
• Form convex functions and the WYDL and other inequalities
• Symmetry and equilibrium states
• Analytic generators for one-parameter groups
• Stability properties and the KMS condition
• A duality theorem for locally compact groups. I - IV
• On a duality for locally compact groups
• Integration Theorems For Gages and Duality for Unimodular Groups
• L'algèbre de Fourier d'un groupe localement compact

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