Mondays 11:00-12:00
A place to learn about all things noncommutative analysis. From operator algebras, systems, and spaces to noncommutative functions and their commutative shadows.
This Week
Place: Building 32, room 114
Zhuang Niu (University of Wyoming)
Structure of crossed product $C^*$-algebras
Structure of crossed product $C^*$-algebras
Consider a dynamical system, and let us study the structure of the corresponding crossed product $C^*$-algebra, in particular on the classifiability, comparison, and stable rank. More precisely, let us introduce a uniform Rokhlin property and a relative comparison property (these two properties hold for all free and minimal $Z^d$ actions). With these two properties, the crossed product $C^*$-algebra is shown to always have stable rank one, to satisfy the Toms-Winter conjecture, and that the comparison radius is dominated by half of the mean dimension of the dynamical system.
2021–22–B meetings
Date |
Title |
Speaker |
Abstract |
---|---|---|---|
Apr 4 | The Radius of Comparison of a Commutative C*-algebra | Chris Phillips (University of Oregon) | |
Apr 11 | A new universal AF-algebra | Wieslaw Kubis (Institute of Mathematics, Prague) | |
May 23, In Building 32, room 114 | Structure of crossed product $C^*$-algebras | Zhuang Niu (University of Wyoming) |
Seminar run by Dr. Eli Shamovich, Dr. Daniel Markiewicz, Prof. Victor Vinnikov and Prof. Ilan Hirshberg