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Orbit equivalence rigidity for ergodic actions of the mapping class group

Yoshikata Kida
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Abstract

We establish orbit equivalence rigidity for any ergodic, essentially free and measure-preserving action on a standard Borel space with a finite positive measure of the mapping class group for a compact orientable surface with higher complexity. We prove similar rigidity results for a finite direct product of mapping class groups as well.

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Yoshikata Kida. 2006-07-24. Orbit equivalence rigidity for ergodic actions of the mapping class group. https://doi.org/10.1007/s10711-007-9219-8

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