江永乐——Intermediate von Neumann subalgebras arising from multiple transitive actions

发布时间:2020-07-21浏览次数:1505

题目:Intermediate von Neumann subalgebras arising from multiple transitive actions


报告人:江永乐(大连理工大学)


时间:7月31日,16:00-17:00


地点:腾讯会议,会议ID:317 436 538,密码:200731


摘要:In this talk, we discuss the following problem: Let $G \curvearrowright X$ be a faithful n-transitive action on an infinite set X for some positive integer n larger than 3. Denote by H the stabilizer group of any point in X. Can we describe all intermediate von Neumann subalgebras between L(H) and L(G)?

         We will discuss motivations to study this question, present an affirmative answer for n larger than 3, and discuss recent progress for n=3 and n=2. As applications, we show L(SL2(Z)) is a maximal Haagerup von Neumann subalgebra in $L(Z^2 \rtimes SL_2 (Z))$ and present “easy” but less satisfactory answers to a question of Prof. Ge. Part of this talk is based on joint work with Prof. Adam Skalski.


会议链接:https://meeting.tencent.com/s/acDBsLBfGHyl


报告PPT:Intermediate von Neumann subalgebras arising from multiple transitive actions.pdf


Copyright (C)2023 哈尔滨工业大学数学研究院版权所有
人才招聘:
联系我们:
电话:86413107      邮箱:IASM@hit.edu.cn
地址:哈尔滨市南岗区西大直街92号
技术支持:哈尔滨工业大学网络安全和信息化办公室