Quasi-free flows on Cuntz algebras

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• Robert Neagu (KU Leuven)
• Friday 18 July 2025, 12:10-12:30
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TGAW02 - C*-algebras: classification and dynamical constructions

A natural, but notoriously challenging problem is to determine when two flows (i.e., continuous actions of the real numbers) on an a C*-algebra are the same up to some appropriate notion of equivalence (usually this is called cocycle conjugacy). So far, if one looks at peak achievements in this direction such as Szabó’s classification of Rokhlin flows or the Gabe-Szabó classification (when restricted to flows), it is evident that general classification results could only be achieved by restricting to the class of Rokhlin flows. A fundamental class of flows for which this problem is still open is the family of quasi-free flows on Cuntz algebras. In this talk, I will describe the history of the problem, and show how one can classify such flows ‘generically’.

This talk is part of the Isaac Newton Institute Seminar Series series.

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