Department of Mathematics

Analysis and PDE

  •  Ben Hayes, University of Virginia
  •  CAT(0)-spaces associated to $II_{1}$-factors
  •  11/11/2020
  •  4:10 PM - 5:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Dapeng Zhan (zhan@msu.edu)

I will discuss recent joint work with Lewis Bowen and Frank Lin. In it, we consider a natural metric satisfying the CAT(0) condition (a certain natural negative curvature condition) on a space of operators affiliated to a tracial von Neumann algebra (a version of this space appeared in previous work of Andruchow-Larotonda). We also investigate how the geometric properties of this CAT(0) space reflect algebraic/analytic properties of the underlying von Neumann algebra.

 

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Michigan State University
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