Irreducible representations of Bost-Connes systems

DOI10.4171/JNCG/251zbMath1362.46071arXiv1412.6900MaRDI QIDQ344484

Takuya Takeishi

Publication date: 22 November 2016

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6900

zbMATH Keywords

class field theoryBost-Connes systemsrepresentations of \(C^*\)-algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Class field theory (11R37)

Related Items (3)

Primitive ideals and \(K\)-theoretic approach to Bost-Connes systems ⋮ Constructing number field isomorphisms from \(*\)-isomorphisms of certain crossed product \(\mathrm{C}^*\)-algebras ⋮ Reconstructing the Bost-Connes semigroup actions from \(K\)-theory

Cites Work

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• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
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• On arithmetic models and functoriality of Bost-Connes systems. With an appendix by Sergey Neshveyev
• Quantum Statistical Mechanics, L-Series and Anabelian Geometry I: Partition Functions
• The Topology on the Primitive Ideal Space of Transformation Group C ∗ - Algebras and C.C.R. Transformation Group C ∗ -Algebras
• Zeta functions do not determine class numbers

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