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11月29日 周大鹏:Persistence approximation property for quantitative K-theory of filtered Lp operator algebras


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2024-11-26 17:58:00

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活动主题:Persistence approximation property for quantitative K-theory of filtered Lp operator algebras 主讲人:周大鹏 开始时间:2024-11-29 15:00:00 举行地点:普陀校区算子代数中心理科大楼 A503 主办单位:数学科学学院 报告人简介周大鹏,上海对外经贸大学讲师。 研究方向为非交换几何,算子代数K理论以及高指标理论的应用。在J.Noncommut.Geom.,Science China-Math等杂志发表多篇文章。 内容简介Quantitative K-theory is a refinement of ordinary operator K-theory. It was developed by Guoliang Yu in his work on the Novikov conjecture for groups with finite asymptotic dimension, and has been studied systematically by Oyono-Oyono and Yu. To explore a way of approximating K-theory with quantitative K-theory, Oyono-Oyono and Yu studied the persistence approximation property for quantitative K-theory of filtered C∗-algebras. In this talk, we extend these methods and results to Lp operator algebras. This is a joint work with Hang Wang, Yanru Wang and Jianguo Zhang.

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