报告题目：L_0-isometries and determinant-preserving isomorphisms

报 告 人：黄景灏 教授（哈尔滨工业大学）

报告时间：2025年9月2日（星期二）10:00—11:00

报告地点：线上报告             腾讯会议ID：420-338-015

校内联系人：江永乐 副教授        联系方式：84708351-8503

报告摘要：The description of (commutative and noncommutative)  $L_p$-isometries has been studied thoroughly since the seminal work of Banach and Stone. We provide a complete description for the limiting case, isometries on noncommutative $L_0$-spaces, which extends the Banach--Stone theorem and Kadison's theorem for isometries of von Neumann algebras. As an application, we show that  a  unital  linear  bijection $\phi$ between two $II_1$-factors  is (Fuglede--Kadison) determinant-preserving if and only if it is an (algebraic) isomorphism or anti-isomorphism, which confirms a conjecture by Harris and Kadison (1996).

报告人简介：黄景灏，哈尔滨工业大学数学研究院教授，副院长，2019年在澳大利亚新南威尔士大学获得博士学位，2022年入选国家级青年人才计划。从事泛函分析Banach空间理论、非交换分析的研究，相关成果发表在JEMS、Adv. Math.、CMP、IMRN、Israel J. Math.、JFA、JLMS、TAMS等期刊上。