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We construct a minimal topological action $\wp$ of a non-amenable group on aCantor set $C$, which is non-uniquely ergodic and furthermore there existergodic 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.

Minimal topological actions do not determine the measurable orbit equivalence class