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Description

The Rokhlin property for flows on C*-algebras is a concept introduced and studied by Kishimoto, which was shown to occur in various natural examples. In this talk, I will report on progress in the classification of Rokhlin flows on C*-algebras, which in part is inspired by a similar recent theory in von Neumann algebras due to Masuda and Tomatsu. I will explain a positive solution to a conjecture of Kishimoto, which asserts that every Kirchberg algebra carries a unique Rokhlin flow up to cocycle conjugacy. We will also discuss a non-simple generalization of this statement, as well as a classification of Rokhlin flows on classifiable KK-contractible C*-algebras.