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Partially bounded transformations have trivial centralizers
Johann Gaebler, Alexander Kastner, Cesar Silva, Xiaoyu Xu, Zirui Zhou
Source abstract
We prove that for infinite rank-one transformations satisfying a property called “partial boundedness,” the only commuting transformations are powers of the original transformation. This shows that a large class of infinite measure-preserving rank-one transformations with bounded cuts have trivial centralizers. We also characterize when partially bounded transformations are isomorphic to their inverse.
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