The temperature state space of a \(C^ *\)-dynamical system. II

DOI10.2307/1971271zbMath0602.46067OpenAlexW2320470282MaRDI QIDQ1081814

Akitaka Kishimoto, George A. Elliott, Ola Bratteli

Publication date: 1986

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971271

zbMATH Keywords

Lie algebradynamical systemphase diagramsKMS-statesbundle of simplicesfaithful representation of a Lie groupfinite inverse temperatures

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) 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)

Related Items (8)

On the bundle of KMS state spaces for flows on a \(\mathcal{Z}\)-absorbing \(C^*\)-algebra ⋮ Generalized positive energy representations of groups of jets ⋮ Non-commutative shifts and crossed products. ⋮ Equilibria when the temperature goes to zero ⋮ C*-algebras from planar algebras I: Canonical C*-algebras associated to a planar algebra ⋮ \(C^*\)-crossed products by \(\mathbb R\). III: Traces ⋮ KMS states on the \(C^\ast\)-algebra of a higher-rank graph and periodicity in the path space ⋮ Locally representable one-parameter automophism groups of AF algebras and KMS states

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