An AF Algebra Associated with the Farey Tessellation
2008 ◽
Vol 60
(5)
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pp. 975-1000
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Keyword(s):
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±1En ≤ τ En.
Keyword(s):
2004 ◽
Vol 376
◽
pp. 45-67
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Keyword(s):
2006 ◽
Vol 43
(6)
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pp. 1169-1181
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2003 ◽
Vol 47
(3)
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pp. 619-631
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2009 ◽
pp. 147-182