Orbit equivalence rigidity for ergodic actions of the mapping class group

Mathematics – Group Theory

Scientific paper

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11 pages, title changed, a part of contents removed

Scientific paper

10.1007/s10711-007-9219-8

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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