Noncommutative Ergodic Optimization and Unique Ergodicity
Operator Algebras
2022-01-19 v3 Dynamical Systems
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.
Cite
@article{arxiv.2109.10425,
title = {Noncommutative Ergodic Optimization and Unique Ergodicity},
author = {Aidan Young},
journal= {arXiv preprint arXiv:2109.10425},
year = {2022}
}
Comments
An anonymous referee pointed out an error in the "erasure" construction. We have removed the erasure from this version, as well as its supposed applications to a non-commutative Jewett-Krieger theorem