Almost finiteness and the small boundary property

Jeudi 15 mars 14:00-15:00 - David Kerr - Texas A&M University

Résumé : The notion of almost finiteness for group actions on compact spaces is an analogue both of hyperfiniteness in the setting of measure-preserving actions and of Z-stability in the setting of C*-algebras and is related to dynamical comparison in a way that is reminiscent of the link between Z-stability and strict comparison in the Toms-Winter conjecture. I will explain how this relationship with dynamical comparison can be illuminated by means of the small boundary property and the concept of almost finiteness in measure, leading to new classification results for crossed product C*-algebras. This is joint work with Gabor Szabo.

Lieu : IMO, salle 2L8

Notes de dernières minutes : Café culturel à 13h par Amaury Freslon

Almost finiteness and the small boundary property  Version PDF