Reconstructing the Bost-Connes semigroup actions from \(K\)-theory

DOI10.1016/j.aim.2020.107070zbMath1440.46058arXiv1709.03281OpenAlexW3006976499MaRDI QIDQ2309106

Yosuke Kubota, Takuya Takeishi

Publication date: 27 March 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03281

zbMATH Keywords

number fieldgroupoid \(C^*\)-algebraBost-Connes systemfiltered $K$-theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Relations with noncommutative geometry (11M55)

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Constructing number field isomorphisms from \(*\)-isomorphisms of certain crossed product \(\mathrm{C}^*\)-algebras ⋮ 𝐶*-algebras of right LCM monoids and their equilibrium states

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