Dynamics Archives for Academic Year 2018


C*-algebras, topological dynamics, and noncommutative dimensions

When: Thu, August 30, 2018 - 2:00pm
Where: Kirwan Hall 1311
Speaker: Jianchao Wu (Penn State University) - http://www.personal.psu.edu/jxw710/
Abstract: C*-algebras are a kind of operator algebras tailored to describe noncommutative (i.e., quantum) topological spaces via functional analytical means. A major source of examples throughout the history of C*-algebra theory lies in the construction of crossed products from topological dynamical systems. This bridge between operator algebras and dynamics, valid also in the measure-theoretical setting, has proven immensely fruitful. On the other hand, the dimension theory of C*-algebras, which studies analogs of classical dimensions for topological spaces, is young but has been gaining momentum lately thanks to the pivotal role played by the notion of finite nuclear dimension in the classification program of simple separable nuclear C*-algebras. The confluence of these two themes leads to the question: What type of topological dynamical systems give rise to crossed product C*-algebras with finite nuclear dimension? I will present some recent work on this problem.

TBA

When: Thu, September 13, 2018 - 2:00pm
Where: Kirwan Hall 1311
Speaker: Joe Auslander (UMD) -
Abstract: TBA

TBA

When: Tue, October 23, 2018 - 2:00pm
Where: TBA
Speaker: Laura DeMarco (Northwestern) - http://www.math.northwestern.edu/~demarco/
Abstract: TBA