Persistence approximation property for quantitative K-theory of filtered Lp operator algebras
報告人簡介
周大鵬，上海對外經貿大學講師。 研究方向為非交換幾何，算子代數K理論以及高指標理論的應用。在J.Noncommut.Geom.，Science China-Math等雜志發表多篇文章。
內容簡介
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.
