An absorption theorem for minimal AF equivalence relations on Cantor sets

Details An absorption theorem for minimal AF equivalence relations on Cantor sets An absorption theorem for minimal AF equivalence relations on Cantor sets

2007-12-05

arxiv.org/abs/0712.0733v2

Mathematics

Dynamical Systems

12 pages

Scientific paper

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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