An absorption theorem for minimal AF equivalence relations on Cantor sets

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dc.creatorMatui, Hiroki
dc.date2007-12-05
dc.date2008-09-09
dc.date.accessioned2026-07-07T10:01:09Z
dc.date.available2026-07-07T10:01:09Z
dc.descriptionWe prove that a `small' extension of a minimal AF equivalence relation on a Cantor set is orbit equivalent to the AF relation. By a `small' extension we mean an equivalence relation generated by the minimal AF equivalence relation and another AF equivalence relation which is defined on a closed thin subset. The result we obtain is a generalization of the main theorem in [GMPS2].
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0712.0733
dc.identifierhttp://arxiv.org/abs/0712.0733
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168540
dc.subjectDynamical Systems
dc.subjectOperator Algebras
dc.subject37B05
dc.titleAn absorption theorem for minimal AF equivalence relations on Cantor sets
dc.typetext

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