An AF algebra associated with the Farey tessellation

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dc.creatorBoca, Florin P.
dc.date2005-11-21
dc.date2008-06-21
dc.date.accessioned2026-07-07T09:45:41Z
dc.date.available2026-07-07T09:45:41Z
dc.descriptionTo the Farey tessellation of the upper half-plane we associate an AF algebra encoding the cutting sequences that define vertical geodesics. The Effros-Shen AF algebras arise as quotients of our algebra. Using the path algebra model for AF algebras we construct for each $τ\in (0,1/4\big]$, projections $(E_n)$ in this algebra such that $E_n E_{n\pm 1}E_n \leq τE_n$.
dc.description23 pages, 20 figures
dc.identifierhttps://arxiv.org/abs/math/0511505
dc.identifierhttp://arxiv.org/abs/math/0511505
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163278
dc.subjectOperator Algebras
dc.subjectNumber Theory
dc.subjectQuantum Algebra
dc.titleAn AF algebra associated with the Farey tessellation
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