Strongly outer actions of amenable groups

Eusebio Gardella (University of Muenster)

Thursday 26th April 16:00-17:00 Maths 311B

Abstract

We report on some ongoing projects with Hirshberg and also with Phillips and Wang, regarding the structure and classification of strongly outer actions of amenable groups on Jiang-Su stable C*-algebras. Most notably, we show that there exists a "model" strongly outer, strongly self-absorbing action that is absorbed by any strongly outer action. We will discuss applications to the theory of Rokhlin dimension, as well as preservation results for D-stability of crossed products.

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