Some algebraic aspects of minimal dynamics on the Cantor set

Maryam Hosseini (Queen Mary University of London)

Thursday 16th March, 2023 16:00-17:00 Maths 311B

Abstract

By the well-known Jewett-Krieger theorems minimal dynamical systems on the Cantor set are topological analogous of ergodic systems on probability Lebesgue spaces. Dimension group and Bratteli diagrams are operator algebraic tools to study Cantor minimal systems. In this talk, I try to make an introduction to dimension groups from dynamical point of view and explain how it helps in studying topological factoring and continuous spectrum of Cantor minimal systems.

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