»ã±¨±êÌâ (Title)£ºPersistence approximation property for quantitative K-theory of filtered Lp operator algebras£¨Filtered LpËã×Ó´úÊýµÄ¶¨Á¿K-ÀíÂÛµÄÓÆ¾Ã½üËÆÐÔÖÊ£©
»ã±¨ÈË (Speaker)£ºÖÜ´óÅô£¨ÉϺ£¶Ô±í¾Ã³´óѧ£©
»ã±¨¹¦·ò (Time)£º2024Äê11ÔÂ22ÈÕ(ÖÜÎå) 16:00
»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303
Ô¼ÇëÈË(Inviter)£ºÏ¯¶«ÃË¡¢Àî½ú¡¢Îâ¼ÓÓÂ
Ö÷°ì²¿ÃÅ£ºÀíѧԺÊýѧϵ
»ã±¨ÌáÒª£ºQuantitative 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.