Speaker: Xuanlong Fu (Tongji University)
Time: 2025-10-10 14:3015:30
Location: 1410, SIMIS
Abstract:
In a paper that joint with Huaxin Lin (published last year), we initiate the study of tracial approximate oscillation zero, which turn out to be a convenient tool to analyze the structure of stable rank one C*-algebras. We showed that, for simple separable C*-algebras with strict comparison, having tracial approximate oscillation zero is equal to having stable rank one. As a byproduct, we showed that for simple C*-algebras, strict comparison and real rank zero imply stable rank one.
In this talk, I will present some new results on stable rank one C*-algebras. I will discuss a stronger version of the surjectivity of the canonical map Gamma, and its connection to tracial approximate oscillation zero and stable rank one. I will also talk about some applications to C*-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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