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澳门永利官网总站入口老网址、所2020年系列学术活动(第248场):汪镇 博士 莆田学院

发表于: 2020-10-19   点击: 

报告题目:Notes on the l^p-Toeplitz algebra on l^p(N)

报 告 人:汪镇博士 莆田学院

报告时间:2020 年10月24日 15:00-16:00

报告地点:腾讯会议ID:  582 871 417 会议密码: 9896

或点击链接直接加入会议:

https://meeting.tencent.com/s/pTrHTqU9o8VA

校内联系人:朱森  zhusen@jlu.edu.cn


报告摘要:

          Let p>1, the l^p Toeplitz algebra is a Banach algebra generated by unilateral shift and its reverse on l^p(N). This algebra contains the compact operators on l^p(N) as a closed two‐sided ideal. In this talk, we show that the quotient by this ideal is isometrically isomorphic to the reduced group l^p operator algebra of the integers. This answers a question of Phillips. As an application, we show that the K‐theory of the l^p Toeplitz algebra is independent of p.


报告人简介:

汪镇,莆田学院数学与金融学院教师。2018年博士毕业于华东师范大学。主要研究算子代数与非交换几何相关问题,研究成果发表于Israel Journal of Mathematics、Chinese annals of mathematics Series B等数学杂志。