An AF Algebra Associated with the Farey Tessellation

Author:

Boca Florin P.

Abstract

AbstractWe associate with the Farey tessellation of the upper half-plane an AF algebra encoding the “cutting sequences” that define vertical geodesics. The Effros–Shen AF algebras arise as quotients of . Using the path algebra model for AF algebras we construct, for each τ ∈ ( 0, ¼], projections (En) in such that EnEn±1Enτ En.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

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