KMS weights on graph \(C^\ast\)-algebras

DOI10.1016/j.aim.2017.01.024zbMath1358.81120OpenAlexW2963794412MaRDI QIDQ509675

Klaus Thomsen

Publication date: 17 February 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2017.01.024

zbMATH Keywords

directed graphs\(C^\ast\)-algebrasKMS weights

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Operator algebra methods applied to problems in quantum theory (81R15) States of selfadjoint operator algebras (46L30) Statistical thermodynamics (82B30) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (17)

Preferred traces on \(C^{\ast}\)-algebras of self-similar groupoids arising as fixed points ⋮ The structure of KMS weights on étale groupoid \(C^\ast\)-algebras ⋮ Equilibria when the temperature goes to zero ⋮ Equilibrium and ground states from Cayley graphs ⋮ Equilibrium states and growth of quasi-lattice ordered monoids ⋮ Thermodynamic formalism for transient potential functions ⋮ Finite digraphs and KMS states ⋮ KMS states, conformal measures and ends in digraphs ⋮ The factor type of dissipative KMS weights on graph \(C\)*-algebras ⋮ KMS states on theC*-algebras of Fell bundles over groupoids ⋮ Reconstructing directed graphs from generalized gauge actions on their Toeplitz algebras ⋮ The possible temperatures for flows on a simple AF algebra ⋮ Infinite DLR measures and volume-type phase transitions on countable Markov shifts ⋮ Equilibrium states on the Toeplitz algebras of small higher-rank graphs ⋮ Phase transition in the CAR algebra ⋮ On the Positive Eigenvalues and Eigenvectors of a Non-negative Matrix ⋮ KMS spectra for group actions on compact spaces

Cites Work

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