Ergodicity of the action of the positive rationals on the group of finite adeles and the Bost-Connes phase transition theorem

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dc.creatorNeshveyev, Sergey
dc.date2000-02-17
dc.date.accessioned2026-07-07T04:33:56Z
dc.date.available2026-07-07T04:33:56Z
dc.descriptionFor each β\in(0,+\infty) there exists a canonical measure μ_βon the ring A_f of finite adeles. We show that the positive rationals act ergodically on (A_f,μ_β) for β\in(0,1], and then deduce from this the uniqueness of KMS_β-states for the Bost-Connes system.
dc.descriptionLaTeX2e, 4 pages
dc.identifierhttps://arxiv.org/abs/math/0002141
dc.identifierhttp://arxiv.org/abs/math/0002141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58712
dc.subjectOperator Algebras
dc.subject46L55
dc.titleErgodicity of the action of the positive rationals on the group of finite adeles and the Bost-Connes phase transition theorem
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