Department of Mathematics

Colloquium

  •  Adrian Ioana, UC San Diego
  •  Classification and rigidity for group von Neumann algebras
  •  04/13/2021
  •  4:00 PM - 5:00 PM
  •  Online (virtual meeting)
  •  Aaron D Levin ()

Any countable group G gives rise to a von Neumann algebra L(G). The classification of these group von Neumann algebras is a central theme in operator algebras. I will survey recent rigidity results which provide instances when various algebraic properties of groups, such as the presence or absence of a direct product decomposition, are remembered by their von Neumann algebras. I will also explain the strongest such rigidity results, where L(G) completely remembers G, and discuss some of the open problems in the area.

 

Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science