報告題目:Notes on the l^p-Toeplitz algebra on l^p(N)
報 告 人:汪鎮博士 莆田學院
報告時間:2020 年10月24日 15:00-16:00
報告地點:騰訊會議ID: 582 871 417 會議密碼: 9896
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校内聯系人:朱森 zhusen@jlu.edu.cn
報告摘要:
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.
報告人簡介:
汪鎮,莆田學院數學與金融學院教師。2018年博士畢業于華東師範大學。主要研究算子代數與非交換幾何相關問題,研究成果發表于Israel Journal of Mathematics、Chinese annals of mathematics Series B等數學雜志。