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تسجيل مستخدم جديدPartially Bounded Transformations have Trivial Centralizer
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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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