Type III\(_{1}\) equilibrium states of the Toeplitz algebra of the affine semigroup over the natural numbers
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Publication:537716
DOI10.1016/j.jfa.2011.03.009zbMath1235.46067arXiv1010.0599OpenAlexW2963011498MaRDI QIDQ537716
Marcelo Laca, Sergey V. Neshveyev
Publication date: 20 May 2011
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.0599
Noncommutative dynamical systems (46L55) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)
Related Items (14)
\(C^*\)-algebras of Toeplitz type associated with algebraic number fields ⋮ KMS states on C*-algebras associated to local homeomorphisms ⋮ On \(K\)-theoretic invariants of semigroup \(C^*\)-algebras attached to number fields ⋮ KMS states on ⋮ A boundary quotient diagram for right LCM semigroups ⋮ Ground states of groupoid \(C^\ast\)-algebras, phase transitions and arithmetic subalgebras for Hecke algebras ⋮ KMS STATES ON NICA–TOEPLITZ ALGEBRAS OF PRODUCT SYSTEMS ⋮ Semigroup 𝐶*-algebras of 𝑎𝑥+𝑏-semigroups ⋮ Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions ⋮ C*-algebras from actions of congruence monoids on rings of algebraic integers ⋮ Equilibrium states on higher-rank Toeplitz non-commutative solenoids ⋮ Entropy theory for the parametrization of the equilibrium states of Pimsner algebras ⋮ Spatial realisations of KMS states on the \(C^\ast\)-algebras of higher-rank graphs ⋮ KMS states on Pimsner algebras associated with \(C^\ast\)-dynamical systems
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