C*-regularity Properties and Topological Dynamics

Jianchao Wu ⽡  (Penn State University)

14:00-15:00, June 8, 2018   Science Building A504


The breathtaking development of the Elliott classification program of C*-algebras in the last decade was expedited by the introduction of C*-regularity properties such as Z-stability and finite nuclear dimension. Effort is underway to transport these ideas to the setting of topological (and C*-) dynamical systems, in hope of applying them to study the structure and rigidity of dynamical systems. To this end, several analogs of finite nuclear dimension have been conceived, and Kerr presented the notion of almost finiteness as an analog of Z-stability in the dynamical setting. I will discuss some further ideas in this direction.

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