Irreducible representations of nilpotent groups generate classifiable C*-algebras
Event details
| Date | 20.02.2017 |
| Hour | 14:00 › 15:00 |
| Speaker | Ellizabeth Gillsapy |
| Location |
MA A1 12
|
| Category | Conferences - Seminars |
In 2015, Eckhardt and McKenney proved that for any finitely generated torsion-free nilpotent group G, the C*-algebra $C^*_\pi(G)$ generated by a faithful irreducible representation $\pi$ of G is classifiable by its Elliott invariant. This talk (based on joint work with Caleb Eckhardt) will present the generalization of the Eckhardt-McKenney result to the case of arbitrary finitely generated nilpotent groups, which relies primarily on showing that $C^*_\pi(G)$ satisfies the UCT. Along the way, we also show that $C^*_\pi(G)$ is a cutdown of a twisted group C*-algebra.
Practical information
- Informed public
- Free