Zappa-Szép products of semigroups and their \(C^\ast\)-algebras

DOI10.1016/j.jfa.2013.12.025zbMath1286.22002arXiv1309.0300OpenAlexW2963469309WikidataQ105937591 ScholiaQ105937591MaRDI QIDQ2444482

Yanyan Li

Publication date: 9 April 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0300

zbMATH Keywords

semigroup\(C^\ast\)-algebraBaumslag-Solitar groupself-similar groupZappa-Szép productquasi-lattice ordered group

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Other topological algebraic systems and their representations (22A30) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (27)

Zappa-Szép product groupoids and \(C^*\)-blends ⋮ Wold decomposition on odometer semigroups ⋮ Remarks on the \(K\)-theory of \(C^*\)-algebras of products of odometers ⋮ Decompositions of semigroups ⋮ The groupoid approach to equilibrium states on right LCM semigroup C∗$^*$‐algebras ⋮ Central automorphisms of Zappa-Szép products of two cyclic groups ⋮ 𝐶*-algebras of right LCM monoids and their equilibrium states ⋮ A boundary quotient diagram for right LCM semigroups ⋮ Zappa-Szép products of Garside monoids ⋮ GRAPH PRODUCTS AND THE ABSENCE OF PROPERTY (AR) ⋮ Exel-Pardo algebras of self-similar \(k\)-graphs ⋮ Nuclearity of semigroup \(C^\ast \)-algebras ⋮ Boundary Quotient -algebras of Products of Odometers ⋮ Dilation theory for right LCM semigroup dynamical systems ⋮ KMS states of self-similar \(k\)-graph \(C^*\)-algebras ⋮ On the -theory of -algebras arising from integral dynamics ⋮ The Zappa-Szép product of a Fell bundle and a groupoid ⋮ Nica-Toeplitz algebras associated with product systems over right LCM semigroups ⋮ On finitely aligned left cancellative small categories, Zappa-Sz\'ep products and Exel-Pardo algebras ⋮ On $C^*$-algebras associated to right LCM semigroups ⋮ The nature of generalized scales ⋮ Regular dilation and Nica-covariant representation on right LCM semigroups ⋮ Nica–Toeplitz algebras associated with right-tensor C∗-precategories over right LCM semigroups ⋮ C^*-Algebras of algebraic dynamical systems and right LCM semigroups ⋮ Quotients of the Booleanization of an Inverse Semigroup ⋮ Semigroup C∗-Algebras ⋮ The boundary quotient for algebraic dynamical systems

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