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Concrete C*-Dynamical Systems and SL2(Z)-Actions on Rotation Algebras

BIMSA via YouTube

Overview

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Explore a 47-minute research seminar from the BIMSA-Tsinghua Quantum Symmetry Series examining concrete C*-dynamical systems arising from SL2(Z)-actions on rotation algebras. Delve into Elliott's classification program for C*-algebras, focusing on how isomorphism classes of crossed products of irrational rotation algebras by integers are characterized by algebra angles and generating matrices under specific equivalence relations. Learn from Assistant Professor Zhuofeng He, who brings expertise from the University of Tokyo, East China Normal University, and current research at BIMSA in classification theory of C*-algebras, C*-dynamical systems, and topological dynamical systems. Gain insights into both explicit computations of Elliott's invariants and partial results for general cases in this specialized mathematical exploration.

Syllabus

Zhuofeng He - Certain concrete C*-dynamical systems

Taught by

BIMSA

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