\(C^*\)-algebras of Toeplitz type associated with algebraic number fields
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Publication:2377366
DOI10.1007/s00208-012-0826-9zbMath1273.22008arXiv1105.5352OpenAlexW2153955345MaRDI QIDQ2377366
Christopher Deninger, Marcelo Laca, Joachim Cuntz
Publication date: 28 June 2013
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.5352
(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Algebraic numbers; rings of algebraic integers (11R04) Hurwitz and Lerch zeta functions (11M35)
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Cites Work
- Bost-Connes systems, Hecke algebras, and induction
- Type III\(_{1}\) equilibrium states of the Toeplitz algebra of the affine semigroup over the natural numbers
- C*-algebras associated with integral domains and crossed products by actions on adele spaces
- Ring C\(^*\)-algebras
- Phase transition on the Toeplitz algebra of the affine semigroup over the natural numbers
- On Bost-Connes type systems for number fields
- Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
- Semigroup crossed products and the Toeplitz algebras of nonabelian groups
- Über unitäre Darstellungen abzählbarer, diskreter Gruppen
- The Regular C*-algebra of an Integral Domain
- From Endomorphisms to Automorphisms and Back: Dilations and Full Corners
- Phase transitions on Hecke C*-algebras and class-field theory over ℚ
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