Operator algebras seminar
Speaker: Eusebio Gardella (Universität Münster)
Title: Regularity properties for amenable group actions
Abstract: We study actions of amenable groups on classifiable C*-algebras, with the goal of describing their internal structure as a necessary step to obtain satisfactory classification results. We will report on recent progress in this line of research, which establishes, under certain tracial assumptions, the equivalence of the following regularity properties: strong outerness, the weak Rokhlin property, and absorption of a distinguished action on the Jiang-Su algebra. We will make emphasis on the parallelisms with the Toms-Winter conjecture, and discuss directions for future work.