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von Neumann Algebras Arising from Bost–Connes Type Systems

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Publication:3069521
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DOI10.1093/imrn/rnq067zbMath1221.46072arXiv0907.1456OpenAlexW2963989553MaRDI QIDQ3069521

Sergey V. Neshveyev

Publication date: 26 January 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1456


zbMATH Keywords

number fieldstypeBost-Connes algebraConnes-Marcolli \(GL_2\)-system


Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Relations with noncommutative geometry (11M55)


Related Items (2)

Bost-Connes systems associated with function fields ⋮ Type III\(_{1}\) equilibrium states of the Toeplitz algebra of the affine semigroup over the natural numbers







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