C*-algebras from actions of congruence monoids on rings of algebraic integers

DOI10.1090/tran/7966zbMath1444.46033arXiv1901.04075OpenAlexW3123751261MaRDI QIDQ5206274

Chris Bruce

Publication date: 18 December 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04075

zbMATH Keywords

number fieldring of integers$ax+b$-semigroupleft regular $C^*$-algebra

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Algebraic numbers; rings of algebraic integers (11R04)

Related Items

Toeplitz algebras of semigroups ⋮ Partition functions as \(C^*\)-dynamical invariants and actions of congruence monoids ⋮ On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms ⋮ Algebraic actions. I: \(\mathrm{C}^\ast\)-algebras and groupoids ⋮ Constructing number field isomorphisms from \(*\)-isomorphisms of certain crossed product \(\mathrm{C}^*\)-algebras ⋮ On monoids of plus-minus weighted zero-sum sequences: the isomorphism problem and the characterization problem ⋮ C*-envelope and dilation theory of semigroup dynamical systems ⋮ \(K\)-theory for semigroup \(C^*\)-algebras and partial crossed products ⋮ On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids

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