ON THE K-THEORY OF CROSSED PRODUCTS BY AUTOMORPHIC SEMIGROUP ACTIONS

DOI10.1093/qmath/hat021zbMath1284.46062arXiv1205.5412OpenAlexW2963617486MaRDI QIDQ2851200

Xin Li, Siegfried Echterhoff, Joachim Cuntz

Publication date: 10 October 2013

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5412

zbMATH Keywords

automorphismsemigroup\(C^*\)-algebra\(K\)-theorysemigroup algebrascrossed product

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) (K)-theory and operator algebras (19K99)

Related Items (26)

\(C^*\)-algebras, dynamics, and classification. Abstracts from the workshop held October 28 -- November 3, 2012. ⋮ \(\mathrm C^*\)-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type ⋮ Partition functions as \(C^*\)-dynamical invariants and actions of congruence monoids ⋮ On \(K\)-theoretic invariants of semigroup \(C^*\)-algebras attached to number fields ⋮ KMS states on ⋮ Boundary quotient C*‐algebras of semigroups ⋮ Constructing number field isomorphisms from \(*\)-isomorphisms of certain crossed product \(\mathrm{C}^*\)-algebras ⋮ \(K\)-theory of noncommutative Bernoulli shifts ⋮ A boundary quotient diagram for right LCM semigroups ⋮ Operator algebras of higher rank numerical semigroups ⋮ Nuclearity of semigroup \(C^\ast\)-algebras and the connection to amenability ⋮ Continuous orbit equivalence rigidity ⋮ On a construction due to Khoshkam and Skandalis ⋮ Semigroup 𝐶*-algebras of 𝑎𝑥+𝑏-semigroups ⋮ Independent resolutions for totally disconnected dynamical systems. I: Algebraic case ⋮ C*-algebras from actions of congruence monoids on rings of algebraic integers ⋮ \(\mathrm{C}^\ast\)-algebras of endomorphisms of groups with finite cokernel and partial actions ⋮ Boundary quotients of the right Toeplitz algebra of the affine semigroup over the natural numbers ⋮ 𝐾-theory for generalized Lamplighter groups ⋮ A going-down principle for ample groupoids and the Baum-Connes conjecture ⋮ C^*-Algebras of algebraic dynamical systems and right LCM semigroups ⋮ A new approach to recent constructions of \(C^\ast\)-algebras from modular index theory ⋮ C∗-Algebras Associated with Algebraic Actions ⋮ Semigroup C∗-Algebras ⋮ \(K\)-theory for semigroup \(C^*\)-algebras and partial crossed products ⋮ On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids

This page was built for publication: ON THE K-THEORY OF CROSSED PRODUCTS BY AUTOMORPHIC SEMIGROUP ACTIONS