Semigroup C∗-Algebras

DOI10.1007/978-3-319-39286-8_9zbMath1375.46040OpenAlexW2491630039MaRDI QIDQ5269301

Xin Li

Publication date: 15 June 2017

Published in: Operator Algebras and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-39286-8_9

zbMATH Keywords

classificationleft regular representations\( C^{\ast}\)-algebras

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Classifications of (C^*)-algebras (46L35)

Related Items (3)

Functional description of \({C}^\ast\)-algebras associated with group graded systems ⋮ On graded semigroup \(C^*\)-algebras and Hilbert modules ⋮ Regular dilation and Nica-covariant representation on right LCM semigroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The isomorphism problem for semigroup \(C^*\)-algebras of right-angled Artin monoids
• On \(K\)-theoretic invariants of semigroup \(C^*\)-algebras attached to number fields
• Semigroup \(C^{*}\)-algebras and amenability of semigroups
• Boundary quotients of \(C^\ast\)-algebras of right LCM semigroups
• Tight representations of semilattices and inverse semigroups.
• Boundary quotients and ideals of Toeplitz \(C^{*}\)-algebras of Artin groups
• Inverse semigroups and combinatorial \(C^*\)-algebras
• Ordered groups and crossed products of \(C^*\)-algebras
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• Groupoids, inverse semigroups, and their operator algebras
• Complete positive group presentations.
• A new characterization of arithmetic equivalence
• \(C^*\)-algebras generated by commuting isometries
• Semigroup crossed products and the Toeplitz algebras of nonabelian groups
• On the \(K\)-theory of the \(C^\ast\)-algebra generated by the left regular representation of an Ore semigroup
• A new approach to recent constructions of \(C^\ast\)-algebras from modular index theory
• \(C^*\)-algebras of Toeplitz type associated with algebraic number fields
• Nuclearity of semigroup \(C^\ast\)-algebras and the connection to amenability
• Zappa-Szép products of semigroups and their \(C^\ast\)-algebras
• Independent resolutions for totally disconnected dynamical systems. I: Algebraic case
• On the \(C^*\)-algebra of a one-parameter semigroup of isometries
• \(C^*\)-algebras of operators on a half-space. I
• \(C^*\)-algebras of operators on a half-space. II: Index theory
• On \(K\)-theoretic invariants of semigroup \(C^\ast\)-algebras attached to number field. II
• Semigroup 𝐶*-algebras of 𝑎𝑥+𝑏-semigroups
• Independent resolutions for totally disconnected dynamical systems. II. $C^*$-algebraic case
• ON THE K-THEORY OF CROSSED PRODUCTS BY AUTOMORPHIC SEMIGROUP ACTIONS
• C*-algebras associated to topological Ore semigroups
• The $K$-theory of Toeplitz $C^*$-algebras of right-angled Artin groups
• C *-algebras for categories of paths associated to the Baumslag-Solitar groups
• On the Toeplitz algebras of right-angled and finite-type Artin groups
• Groupoids and $C^*$-algebras for categories of paths
• The $K$-Theory of Some Reduced Inverse Semigroup $C^*$-Algebras
• Cartan subalgebras in C*-algebras
• Crossed Products of C*-Algebras by Semigroups of Automorphisms
• Zeta functions do not determine class numbers
• Amenability for Fell bundles.
• From Endomorphisms to Automorphisms and Back: Dilations and Full Corners
• Continuous orbit equivalence rigidity
• The primitive ideal space of the C*-algebra of the affine semigroup of algebraic integers
• Groupoids associated to Ore semigroup actions
• Inverse Semigroup C*-Algebras Associated with Left Cancellative Semigroups
• The 𝐶*-algebra generated by an isometry
• The C ∗ -Algebra Generated by an Isometry. II
• On the C ∗ -Algebra of Toeplitz Operators on the Quarter-Plane

This page was built for publication: Semigroup C∗-Algebras