Boundary quotients of the Toeplitz algebra of the affine semigroup over the natural numbers
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Publication:2884073
DOI10.1017/S0143385710000830zbMath1252.46069arXiv1009.3678OpenAlexW1981322244MaRDI QIDQ2884073
Marcelo Laca, Iain Raeburn, Nathan Brownlowe, Astrid an Huef
Publication date: 24 May 2012
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.3678
Related Items (22)
Toeplitz algebras of semigroups ⋮ A crossed-product approach to the Cuntz–Li algebras ⋮ The Toeplitz noncommutative solenoid and its Kubo–Martin–Schwinger states ⋮ 𝐶*-algebras of right LCM monoids and their equilibrium states ⋮ KMS states on Nica-Toeplitz \(\text{C}^*\)-algebras ⋮ A boundary quotient diagram for right LCM semigroups ⋮ Stacey crossed products associated to Exel systems ⋮ GRAPH PRODUCTS AND THE ABSENCE OF PROPERTY (AR) ⋮ Groupoid Fell bundles for product systems over quasi-lattice ordered groups ⋮ Equilibrium states and growth of quasi-lattice ordered monoids ⋮ Phase transition on Exel crossed products associated to dilation matrices ⋮ Zappa-Szép products of semigroups and their \(C^\ast\)-algebras ⋮ On the -theory of -algebras arising from integral dynamics ⋮ KMS STATES ON NICA–TOEPLITZ ALGEBRAS OF PRODUCT SYSTEMS ⋮ Two families of Exel-Larsen crossed products ⋮ Type III\(_{1}\) equilibrium states of the Toeplitz algebra of the affine semigroup over the natural numbers ⋮ Equilibrium states and entropy theory for Nica-Pimsner algebras ⋮ Boundary quotients of the right Toeplitz algebra of the affine semigroup over the natural numbers ⋮ The nature of generalized scales ⋮ Partial crossed product description of the 𝐶*-algebras associated with integral domains ⋮ C^*-Algebras of algebraic dynamical systems and right LCM semigroups ⋮ Quotients of the Booleanization of an Inverse Semigroup
Cites Work
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- KMS states of quasi-free dynamics on Pimsner algebras
- Semigroup crossed products and the Toeplitz algebras of nonabelian groups
- Some multidimensional Cuntz algebras
- Exel's crossed product and relative Cuntz–Pimsner algebras
- Projective multi-resolution analyses arising from direct limits of Hilbert modules
- Crossed products by abelian semigroups via transfer operators
- Amenability for Fell bundles.
- A new look at the crossed-product of a C *-algebra by an endomorphism
- C*-Algebras of Irreversible Dynamical Systems
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