Generic classification of the quasi-free flows on the Cuntz algebra $\mathcal{O}_2$
Operator Algebras
2025-09-03 v1 Dynamical Systems
Abstract
In this article we show that the quasi-free flows on the Cuntz algebra are generically classifiable by the inverse temperature of their unique KMS state. Along the way, we show that a large class of quasi-free flows on the Cuntz algebra are generically equivariantly -stable and their corresponding dual action has the Rokhlin property generically.
Cite
@article{arxiv.2509.00829,
title = {Generic classification of the quasi-free flows on the Cuntz algebra $\mathcal{O}_2$},
author = {Robert Neagu},
journal= {arXiv preprint arXiv:2509.00829},
year = {2025}
}