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arXiv · 2109.10425

Noncommutative Ergodic Optimization and Unique Ergodicity

Aidan Young
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Abstract

We extend the theory of ergodic optimization and maximizing measures to the non-commutative field of C*-dynamical systems. We then employ this ergodic optimization machinery to provide an alternate characterization of unique erogdicity of C*-dynamical systems when the resident group action satisfies certain Choquet-theoretic assumptions.

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Aidan Young. 2021-09-21. Noncommutative Ergodic Optimization and Unique Ergodicity. https://arxiv.org/abs/2109.10425

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