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江永乐——Intermediate von Neumann subalgebras arising from multiple transitive actions
发布人:许全华  发布时间:2020-07-21   浏览次数:141

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