Locally representable one-parameter automophism groups of AF algebras and KMS states

DOI10.1016/S0034-4877(00)80003-8zbMath0982.46054OpenAlexW2020929045MaRDI QIDQ1580729

Akitaka Kishimoto

Publication date: 24 March 2002

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(00)80003-8

zbMATH Keywords

KMS stateslocally representablecocycle conjugacyAF algebrasfield of KMS statesone-parameter groups on \(C^*\)-algebrastop and bottom marginal spectra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) States of selfadjoint operator algebras (46L30)

Related Items (12)

Rohlin flows on the Cuntz algebra \(\mathcal O_\infty\) ⋮ ROHLIN FLOWS ON THE CUNTZ ALGEBRA ${\mathcal O}_2$ ⋮ On the bundle of KMS state spaces for flows on a \(\mathcal{Z}\)-absorbing \(C^*\)-algebra ⋮ CORE SYMMETRIES OF A FLOW ⋮ \(C^*\)-crossed products by \(\mathbb R\). III: Traces ⋮ KMS weights on graph \(C^\ast\)-algebras ⋮ KMS states, conformal measures and ends in digraphs ⋮ UHF FLOWS AND THE FLIP AUTOMORPHISM ⋮ AF FLOWS AND CONTINUOUS SYMMETRIES ⋮ APPROXIMATELY INNER FLOWS ON SEPARABLE C*-ALGEBRAS ⋮ Phase transition in the CAR algebra ⋮ UHF FLOWS AND COCYCLES

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