A certain kind of representations of crossed products and Heisenberg group actions

Sihan Wei Î¤Ë¹º²  (ECNU)

10:00-11:00, March 12, 2019   Science Building A510

Abstract:

In this talk, we recall a certain form of irreducible representations, defined by Tomiyama, of crossed products arising from a group action of $G$ on a compact metrizable space $X$ and see how it may be related to the orbits under the $G$-action. Additionally, we take a glimpse to the property of the $C^*$-algebra associated with the noncommutative dynamical system $(X,G,\alpha)$ where $G$ is the 3-dimensional discrete Heisenberg group and $X$ is the Cantor space with $\alpha$ being a minimal action.