KMS states on the \(C^\ast\)-algebras of finite graphs
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Publication:2257131
DOI10.1016/j.jmaa.2013.03.055zbMath1306.46061arXiv1205.2194OpenAlexW1533940991MaRDI QIDQ2257131
Astrid an Huef, Marcelo Laca, Aidan Sims, Iain Raeburn
Publication date: 24 February 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.2194
Related Items (31)
An example of explicit dependence of quantum symmetry on KMS states ⋮ Partial actions and KMS states on relative graph \(C^\ast\)-algebras ⋮ Preferred traces on \(C^{\ast}\)-algebras of self-similar groupoids arising as fixed points ⋮ Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs ⋮ KMS states and continuous orbit equivalence for ultragraph shift spaces with sinks ⋮ The Toeplitz noncommutative solenoid and its Kubo–Martin–Schwinger states ⋮ KMS states on C*-algebras associated to local homeomorphisms ⋮ KMS states on the operator algebras of reducible higher-rank graphs ⋮ Separable representations, KMS states, and wavelets for higher-rank graphs ⋮ Constructing KMS states from infinite-dimensional spectral triples ⋮ KMS states on generalised Bunce-Deddens algebras and their Toeplitz extensions ⋮ Equilibria when the temperature goes to zero ⋮ C*-algebras from planar algebras I: Canonical C*-algebras associated to a planar algebra ⋮ Quantum symmetry of graph $C^{\ast }$-algebras at\cr critical inverse temperature ⋮ KMS states on \(C^\ast\)-algebras associated to higher-rank graphs ⋮ Von Neumann algebras of strongly connected higher-rank graphs ⋮ Computing the fundamental group of a higher-rank graph ⋮ KMS states on \(C^{\ast}\)-algebras associated to a family of \(\ast\)-commuting local homeomorphisms ⋮ KMS weights on groupoid and graph \(C^\ast\)-algebras ⋮ KMS states on the \(C^\ast\)-algebra of a higher-rank graph and periodicity in the path space ⋮ KMS states on the -algebras of reducible graphs ⋮ Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions ⋮ Reconstructing directed graphs from generalized gauge actions on their Toeplitz algebras ⋮ Boundary quotients of the right Toeplitz algebra of the affine semigroup over the natural numbers ⋮ Equilibrium states on higher-rank Toeplitz non-commutative solenoids ⋮ KMS states on the Toeplitz algebras of higher-rank graphs ⋮ Equilibrium on Toeplitz extensions of higher dimensional noncommutative tori ⋮ Entropy theory for the parametrization of the equilibrium states of Pimsner algebras ⋮ Equilibrium states on the Toeplitz algebras of small higher-rank graphs ⋮ Spatial realisations of KMS states on the \(C^\ast\)-algebras of higher-rank graphs ⋮ Equilibrium States on Graph Algebras
Cites Work
- Phase transition on Exel crossed products associated to dilation matrices
- Graphs, groupoids, and Cuntz-Krieger algebras
- Phase transition on the Toeplitz algebra of the affine semigroup over the natural numbers
- A groupoid approach to C*-algebras
- Non-negative matrices and Markov chains. 2nd ed
- The ideal structure of the \(C^*\)-algebras of infinite graphs
- Partial dynamical systems and the KMS condition
- KMS states of quasi-free dynamics on Pimsner algebras
- KMS STATES ON FINITE-GRAPH C∗-ALGEBRAS
- KMS states on C*-algebras associated to expansive maps
- Some $C^*$-dynamical systems with a single KMS state.
- The Toeplitz algebra of a Hilbert bimodule
- KMS states on the $C^*$-algebras of non-principal groupoids
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