Speaker: 符玄龙 (同济大学)
Time: 2026-03-20 14:30-15:30
Location: 1510, SIMIS
Abstract:
This talk is based on the preprint arXiv:2512.23911v1. It should be noted that there are plenty of C*-algebras that have stable rank one yet do not have real rank zero, such as the Jiang-Su algebra, the Razak algebra, and Villadsen’s algebras among simple diagonal AH algebras. However, recently, by analysing the concept of tracial approximate oscillation zero, we found that for a simple separable stable rank one C*-algebra A, real rank zero is hidden behind in a reasonable way: The tracial sequence algebra of A has real rank zero. I will also talk about some applications to topological dynamical systems.
About Speaker:
Xuanlong Fu is an assistant professor at Tongji University. From 2018 to 2021, Fu was a postdoc at the Shanghai Center for Mathematical Sciences, and from 2021 to 2024, he was a postdoc at the University of Toronto/The Fields Institute. His main research interest is in C*-algebra theory.
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