Generic classification of the quasi-free flows on the Cuntz algebra $\mathcal{O}_2$

Robert Neagu

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arXiv · 2509.00829

Generic classification of the quasi-free flows on the Cuntz algebra $\mathcal{O}_2$

Robert Neagu

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Abstract

In this article we show that the quasi-free flows on the Cuntz algebra $\mathcal{O}_2$ 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 $\mathcal{O}_n$ are generically equivariantly $\mathcal{Z}$-stable and their corresponding dual action has the Rokhlin property generically.

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Robert Neagu. 2025-08-31. Generic classification of the quasi-free flows on the Cuntz algebra $\mathcal{O}_2$. https://arxiv.org/abs/2509.00829

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