Dynamical Systems seminar -Topological Factoring of Zero Dimensional Dynamical Systems

Speaker: Maryam Hosseini (Queen Mary University of London)

Abstract: Kakutani-Rokhlin partitions are appropriate tools in studying zero dimensional dynamical systems as these systems may appear in realizations of measure preserving ergodic systems on probability spaces. So the problem of existence of Kakutani-Rokhlin towers for a zero dimensional systems have been studied by people in Dynamical systems as well as operator algebraists which leads to creation of Dimension Group. In this talk, I will talk about application of Kakutani Rokhlin towers and dimension group in studying topological factoring between two zero dimensional systems. The talk is mostly based on a joint current work with Nasser Golestani.