Department of Mathematics

Mathematical Physics and Operator Algebras

  •  Bin Sun, University of Oxford
  •  Generalized wreath products and rigidity of their von Neumann algebras
  •  10/04/2022
  •  11:00 AM - 11:50 AM
  •  C304 Wells Hall
  •  Brent Nelson (banelson@msu.edu)

We construct the first positive examples to the Connes' Rigidity Conjecture, i.e., we construct groups $G$ with Kazhdan's property (T) such that if $H$ is a group with the same von Neumann algebra as $G$, then $H\cong G$. In this talk, I will focus on the group-theoretic side of this result and talk about how we applied geometric group theory to solve problems from von Neumann algebra. This is joint work with Ionut Chifan, Adrian Ioana, and Denis Osin.

 

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Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

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