BIMSA > BIMSA-Tsinghua Quantum Symmetry Seminar Certain concrete $C^*$-dynamical systems
Certain concrete $C^*$-dynamical systems
Organizers
Lin Zhe Huang , Zheng Wei Liu , Sébastien Palcoux , Yi Long Wang , Jin Song Wu
Speaker
Zhuo Feng He
Time
Wednesday, December 20, 2023 10:30 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 293 812 9202 (BIMSA)
Abstract
In the context of Elliott’s classification program for $C^*$-algebras, this line of research focuses on concrete $C^*$-dynamical systems arising from $SL_2(\mathbb{Z})$-actions on rotation algebras. By computing the Elliott’s invariants explicitly, it is determined that the isomorphism classes of crossed products of irrational rotation algebras by the integers are completely characterized by the angles of the algebras and the generating matrices, up to some canonical equivalence relations. An analogous partial result for general case is also presented.
Speaker Intro
He graduated from the University of Tokyo in 2018, and then became an associate research fellow at University of Tokyo. After finishing his postdocteral position at East China Normal University in 2022, He joined BIMSA as an assistant professor in 2023. He's recent research interests lie in classification theory of C*-algebras, C*-dynamical systems and topological dynamical systems.