报告题目：Tracial approximate oscillation zero and regularity properties

报 告 人：符玄龙 博士后 （Fields Institute）  

报告时间：2023年5月30日（星期二） 9:00-10:00

报告地点：腾讯会议ID 231-353-774 密码 202305

校内联系人：刘智超 副教授  

报告摘要： Let A be a separable (not necessarily unital) simple C*-algebra with strict comparison. In a paper joint with Huaxin Lin, we show that if A has tracial approximate oscillation zero then A has stable rank one and the canonical map $\Gamma$ from the Cuntz semigroup of $A$ to the corresponding lower-semicontinuous affine function space is surjective. The converse also holds.

As a by-product, we find that a separable simple C*-algebra, which has almost stable rank one must have stable rank one, provided it has strict comparison and the canonical map $\Gamma$ is surjective.

I will also talk about some recent applications of tracial approximate oscillation zero to regularity properties.

报告人简介：符玄龙，博士毕业于华东师范大学。曾在复旦大学上海数学中心以及多伦多大学做博士后。从事算子代数方面研究工作，在 J. Lond. Math. Soc. , Canad. J. Math. , Forum Math. Sigma, Sci. China Math. 发表多篇论文。现在为菲尔兹研究所博士后。