Generic classification of the quasi-free flows on the Cuntz algebra O2

Abstract

In this article we show that the quasi-free flows on the Cuntz algebra O2 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 On are generically equivariantly Z-stable and their corresponding dual action has the Rokhlin property generically.

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