Operator algebra seminar

Speaker: Gabor Szabo (University of Aberdeen)

Title: On the classification problem for Rokhlin flows

Abstract: The classification problem for flows on operator algebras is a fundamental problem that has historically attracted much attention. This includes some recent notable achievements on the von Neumann algebraic side. Although the C*-algebraic side has proven itself to be notoriously difficult more than anything else, the relentless pioneering work of Kishimoto stands out as an invaluable contribution to the field. A notable body of his work concerns those flows that satisfy the so-called Rokhlin property, which is a strong freeness condition introduced and studied by him and his collaborators. It is expected that this type of flows ought to be the most natural class of objects accessible to classification, and in fact it is still an open problem whether Rokhlin flows on Kirchberg algebras are unique. In this talk I will present some positive results in this direction. If time permits, I will speculate toward some more far-reaching classification results for Rokhlin flows that might not be far behind.