On fast vanishing ideals and comparison property of central sequences

Xuanlong Fu 符玄龙  (Tongji University)

14:00-15:00, November 25, 2024   Science Building A503

Abstract:

Let A be a simple separable non-elementary unital stably finite nuclear C*-algebra with strict comparison. One of Kirchberg’s result showed that central sequence algebra of A is non-simple. We show that every two nonzero ideals of the central sequence algebra of A contain a common fast vanishing ideal. As a consequence, we show that the central sequence algebra of A is prime. We also discuss the tracial version of related concepts. This is based on a joint work with I. Farah, F. Perera, H. Thiel, and E. Vilalta.

About the speaker:

符玄龙，同济大学助理教授，研究领域为泛函分析与算子代数，重点探索C*-代数的分类与轨迹近似性等问题。他在华东师范大学获得博士学位，并于博士期间赴美国俄勒冈大学进行学术访问。博士毕业后，他先后在复旦大学、多伦多大学及菲尔兹研究所从事博士后研究。符博士的研究成果卓著，已在《Canadian Journal of Mathematics》、《Journal of the London Mathematical Society》等期刊发表多篇论文。他曾主持中国博士后科学基金资助项目，并担任2022年加拿大数学会冬季会议算子代数分会的组织者。他在算子代数的理论研究中取得了诸多创新性进展，尤其是在 非交换维数与C*-代数分类的交叉领域。

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