Invariant Conditional Expectations and Unique Ergodicity for Anzai Skew-Products
Operator Algebras
2021-08-27 v1 Functional Analysis
Abstract
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 -dynamical systems.
Keywords
Cite
@article{arxiv.2108.11938,
title = {Invariant Conditional Expectations and Unique Ergodicity for Anzai Skew-Products},
author = {Simone Del Vecchio and Francesco Fidaleo and Stefano Rossi},
journal= {arXiv preprint arXiv:2108.11938},
year = {2021}
}
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22 pages