Orbit equivalence rigidity for ergodic actions of the mapping class group
arXiv:math/0607601 · doi:10.1007/s10711-007-9219-8
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.
11 pages, title changed, a part of contents removed
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- Primeness results for von Neumann algebras associated with surface braid groups
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