The noncommutative factor theorem for lattices in product groups

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• Cyril Houdayer (Université Paris-Saclay)
• Tuesday 27 June 2023, 14:10-14:50
• Seminar Room 1, Newton Institute.

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OASW05 - OAS Follow on: Operator Algebras: Subfactors and Applications

In this talk, I will present a joint work with Rémi Boutonnet  in which we prove a noncommutative analogue of Bader-Shalom’s factor theorem for lattices with dense projections in product groups. Combining with previous works, we obtain a noncommutative analogue of Margulis’ factor theorem for all irreducible lattices in higher rank semisimple algebraic groups. Namely, we give a complete description of all intermediate subfactors sitting between the group von Neumann algebra of the lattice and the group measure space von Neumann algebra of the action of the lattice on the Poisson boundary.

This talk is part of the Isaac Newton Institute Seminar Series series.

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