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arXiv · 0712.0733

An absorption theorem for minimal AF equivalence relations on Cantor sets

Hiroki Matui
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Abstract

We 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].

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Hiroki Matui. 2008-09-09. An absorption theorem for minimal AF equivalence relations on Cantor sets. https://arxiv.org/abs/0712.0733

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