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Invariant Conditional Expectations and Unique Ergodicity for Anzai Skew-Products

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 نشر من قبل Simone Del Vecchio
 تاريخ النشر 2021
  مجال البحث
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Anzai skew-products are shown to be uniquely ergodic with respect to the fixed-point subalgebra if and only if there is a unique conditional expectation onto such a subalgebra which is invariant under the dynamics. For the particular case of skew-products, this solves a question raised by B. Abadie and K. Dykema in the wider context of $C^*$-dynamical systems.


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