Minimal topological actions do not determine the measurable orbit equivalence class

Details Minimal topological actions do not determine the measurable orbit equivalence class Minimal topological actions do not determine the measurable orbit equivalence class

2006-08-25

arxiv.org/abs/math/0608629v1

Mathematics

Dynamical Systems

Scientific paper

We construct a minimal topological action $\wp$ of a non-amenable group on a
Cantor set $C$, which is non-uniquely ergodic and furthermore there exist
ergodic invariant measures $\mu_1$ and $\mu_2$ such that $(\wp,C,\mu_1)$ and
$(\wp,C,\mu_2)$ are not orbit equivalent measurable equivalence relations.

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