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.