An absorption theorem for minimal AF equivalence relations on Cantor sets
Dynamical Systems
2008-09-09 v2 Operator Algebras
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].
Cite
@article{arxiv.0712.0733,
title = {An absorption theorem for minimal AF equivalence relations on Cantor sets},
author = {Hiroki Matui},
journal= {arXiv preprint arXiv:0712.0733},
year = {2008}
}
Comments
12 pages