Stable rank of $C(X) \rtimes Z^d$

Chunguang Li Àî´º¹â  (Northeast Normal University)

10:00-11:00, December 7, 2021   Tencent Meeting 394 6937 6400

Abstract:

I will introduce the definitions of stable ranks (Bass stable rank and topological stable rank). Then I will talk about some works on the stable rank of C*-algebras. Consider a free and minimal action of Z^d on a compact Hausdorff space X. The main result shows that the stable rank of the corresponding crossed product C^*-algebra $C(X) \rtimes Z^d$ is 1. This gives a positive answer to a conjecture of Niu and Phillips. This talk is based on a joint work with Zhuang Niu.