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arXiv · 2302.06109

Noncommutative Ergodic Optimization

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 provide a result linking the ergodic optimizations of elements of a C*-dynamical system to the convergence of certain ergodic averages in a suitable seminorm. We also provide alternate proofs of several results in this article using the tools of nonstandard analysis.

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Aidan Young. 2023-02-13. Noncommutative Ergodic Optimization. https://arxiv.org/abs/2302.06109

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