报告人：Kun Wang (Texas A&M University)

时间：2024年06月17日 15：00-

地址：理科楼LA103

摘要：Examples due to Villadsen, Rørdam, and Toms have shown that Elliott invariant is insufficient for the classification of all simple, separable, and nuclear C∗ -algebras. There are simple, separable, and nuclear C∗-algebras that can be distinguished by their Cuntz semigroups but not by their Elliott invariant. In my talk, I will provide an overview of the Elliott classification program and introduce several related invariants, including the Elliott invariant and the Cuntz semigroup. I will explore the relationships between these invariants and show a characterization of the Cuntz semigroup and Cuntz comparison for a specific class of non-simple C∗-algebras with the ideal property. This characterization utilizes the lattice structure of the Murray-von Neumann semigroup and the cone of lower semicontinuous traces. This is a joint work with G. Elliott.

简介：王琨博士，基础数学方向，毕业于美国波多黎各大学，曾在加拿大Fields研究所和美国德州农工大学做博士后，现任美国德州农工大学讲师，长期从事C*代数分类及其不变量的研究，曾在Journal of Noncommutative Geometry, Journal of operator theory, Chinese Annals of Math, Journal of Ramanujan Math等杂志上发表数篇文章。

邀请人：数学研究中心

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