C*-algebras from actions of congruence monoids on rings of algebraic integers (Q5206274)

scientific article; zbMATH DE number 7144605

Language	Label	Description	Also known as
English	C*-algebras from actions of congruence monoids on rings of algebraic integers	scientific article; zbMATH DE number 7144605

Statements

instance of

scholarly article

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title

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

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author

Chris Bruce

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published in

Transactions of the American Mathematical Society

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publication date

18 December 2019

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full work available at URL

https://arxiv.org/abs/1901.04075

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zbMATH Keywords

number field

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ring of integers

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$ax+b$-semigroup

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left regular $C^*$-algebra

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MaRDI profile type

MaRDI publication profile

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cites work

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Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory

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Q3545875

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$C^*$-algebras of Toeplitz type associated with algebraic number fields

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

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$K$-theory for group $C^*$-algebras and semigroup $C^*$-algebras

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The Regular C*-algebra of an Integral Domain

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C*-algebras associated with integral domains and crossed products by actions on adele spaces

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The primitive ideal space of the C*-algebra of the affine semigroup of algebraic integers

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Non-Hausdorff étale groupoids

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Congruence monoids

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An approximation theorem for semigroups with divisor theory

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From Endomorphisms to Automorphisms and Back: Dilations and Full Corners

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On Bost-Connes type systems for number fields

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Type III$_{1}$ equilibrium states of the Toeplitz algebra of the affine semigroup over the natural numbers

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Semigroup crossed products and the Toeplitz algebras of nonabelian groups

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The ideal structure of the Hecke $C^*$-algebra of Bost and Connes

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Phase transition on the Toeplitz algebra of the affine semigroup over the natural numbers

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Phase transitions on C*-algebras arising from number fields and the generalized Furstenberg conjecture

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The 2-adic ring $C^{\ast}$-algebra of the integers and its representations

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Ring C$^*$-algebras

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Semigroup $C^{*}$-algebras and amenability of semigroups

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Nuclearity of semigroup $C^\ast$-algebras and the connection to amenability

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On $K$-theoretic invariants of semigroup $C^*$-algebras attached to number fields

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On $K$-theoretic invariants of semigroup $C^\ast$-algebras attached to number field. II

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Semigroup 𝐶*-algebras of 𝑎𝑥+𝑏-semigroups

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Partial Transformation Groupoids Attached to Graphs and Semigroups

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Topological $K$-(co)homology of classifying spaces of discrete groups

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Independent resolutions for totally disconnected dynamical systems. II. $C^*$-algebraic case

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Q4821147

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KMS states on the $C^*$-algebras of non-principal groupoids

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The primitive ideals of some étale groupoid $C^\ast$-algebras

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Identifiers

zbMATH Open document ID

1444.46033

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DOI

10.1090/tran/7966

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5206274