Noncommutative Ergodic Optimization and Unique Ergodicity
arXiv:2109.10425
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.
arXiv commentAn 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