报告题目：Band truncation approximations for operators in lp uniform Roe algebras and applications

报 告 人：王勤 教授 华东师范大学

报告时间：2020年12月4日 14:30-15:30

报告地点：腾讯会议 ID：253 251 669 密码：123456

校内联系人：张远航   zhangyuanhang@jlu.edu.cn

报告摘要：

Uniform Roe algebras are typically C*-algebras on discrete metric spaces which reflect large scale geometry of the underlying spaces. Recently, the l^p versions of uniform Roe algebras have attracted much

attention due to their applications in operator theory, operator algebras and K-theory.

In this talk, we will determine a large class of dense subspaces of l^p uniform Roe algebras of discrete groups whose elements can be approximated in operator norm by their band truncations. Under an l^p version of Rapid Decay condition, we construct a spectral invariant subalgebra of the l^p uniform Roe algebra of a discrete group. We also establish that the K-theory groups of these l^p operator algebras on discrete metric spaces with Yu's property (A) depend continuously on p.

报告人简介：

王勤，华东师范大学数学科学学院算子代数研究中心教授、博士生导师，主要从事算子代数、粗几何、非交换几何等领域的研究，在非交换几何的重要问题“粗Baum-Connes猜想”、“粗Novikov猜想”等方面取得了若干重要成果，曾获全国百篇优秀博士论文奖，入选教育部新世纪优秀人才支持计划、上海市曙光学者、上海市浦江学者，在 J. Reine Angew. Math.、 Adv. Math. 、J. Funct. Anal.等国际权威期刊发表论文30余篇。