On embedding of the Bratteli diagram into a surface

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dc.creatorNikolaev, Igor
dc.date2001-04-06
dc.date2009-01-19
dc.date.accessioned2026-07-07T12:31:19Z
dc.date.available2026-07-07T12:31:19Z
dc.descriptionWe study C*-algebras O_λ which arise in dynamics of the interval exchange transformations and measured foliations on compact surfaces. Using Koebe-Morse coding of geodesic lines, we establish a bijection between Bratteli diagrams of such algebras and measured foliations. This approach allows us to apply K-theory of operator algebras to prove strict ergodicity criterion and Keane's conjecture for the interval exchange transformations.
dc.descriptionfinal version
dc.identifierhttps://arxiv.org/abs/math/0104082
dc.identifierhttp://arxiv.org/abs/math/0104082
dc.identifierRecent Advances in Matrix and Operator Theory 179 (2008), pp 211-227; Birkhauser
dc.identifierdoi:10.1007/978-3-7643-8539-2_13
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216404
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.subject19K14; 46L40; 57R30
dc.titleOn embedding of the Bratteli diagram into a surface
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