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SUMMARY:The noncommutative factor theorem for lattices in product groups -
  Cyril Houdayer (Université Paris-Saclay)
DTSTART:20230627T131000Z
DTEND:20230627T135000Z
UID:TALK201976@talks.cam.ac.uk
DESCRIPTION:In this talk\, I will present a joint work with R&eacute\;mi B
 outonnet &nbsp\;in which we prove a noncommutative analogue of Bader-Shalo
 m's factor theorem for lattices with dense projections in product groups. 
 Combining with previous works\, we obtain a noncommutative analogue of Mar
 gulis' factor theorem for all irreducible lattices in higher rank semisimp
 le algebraic groups. Namely\, we give a complete description of all interm
 ediate subfactors sitting between the group von Neumann algebra of the lat
 tice and the group measure space von Neumann algebra of the action of the 
 lattice on the Poisson boundary.
LOCATION:Seminar Room 1\, Newton Institute
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