汇报标题 (Title):Persistence approximation property for quantitative K-theory of filtered Lp operator algebras(Filtered Lp算子代数的定量K-理论的悠久近似性质)
汇报人 (Speaker):周大鹏(上海对表经贸大学)
汇报功夫 (Time):2024年11月22日(周五) 16:00
汇报地址 (Place):校本部GJ303
约请人(Inviter):席东盟、李晋、吴加勇
主办部门:理学院数学系
汇报提要: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.