KMS spectra for group actions on compact spaces

DOI10.1007/s00220-021-04282-wzbMath1494.46065arXiv2104.13890OpenAlexW4210471008MaRDI QIDQ2113509

Johannes Christensen, Stefaan Vaes

Publication date: 14 March 2022

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

Full work available at URL: https://arxiv.org/abs/2104.13890

zbMATH Keywords

topologically free action of a countable group

Mathematics Subject Classification ID

Geometric group theory (20F65) Noncommutative dynamical systems (46L55) States of selfadjoint operator algebras (46L30) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

• KMS weights on graph \(C^\ast\)-algebras
• Phase transition in the CAR algebra
• A groupoid approach to C*-algebras
• On the possible temperatures of a dynamical system
• The possible temperatures for flows on a simple AF algebra
• KMS states on Nica-Toeplitz \(\text{C}^*\)-algebras
• The ergodic theorem for additive cocycles of ℤ^d or ℝ^d
• KMS states on C*-algebras associated to expansive maps
• On the Existence of Conformal Measures
• Some $C^*$-dynamical systems with a single KMS state.
• KMS states on the $C^*$-algebras of non-principal groupoids
• KMS states on the -algebras of reducible graphs
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