Persistence approximation property for quantitative K-theory of filtered Lp operator algebras

Dapeng Zhou 周大鹏  (Shanghai University of International Business and Economics)

15:00-16:00, November 29, 2024   Science Building A503

Abstract:

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.

About the speaker:

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。

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