Flow-orbit Equivalence for Minimal Cantor Systems
نویسنده
چکیده
This paper is about ow-orbit equivalence, a topological analogue of even Kakutani equivalence. In addition to establishing many basic facts about this relation, we characterize the conjugacies of induced systems that can be extended to a ow-orbit equivalence. We also describe the relationship between ow-orbit equivalence and a distortion function of an orbit equivalence. We show that if the distortion of an orbit equivalence is zero, then it is in fact a ow-orbit equivalence, and that the converse is true up to a conjugation by an element of the full group.
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