Operator Theory Seminar
In this talk I will present joint work with Daniel Hoff and Adrian Ioana in which we obtain that $II_1$ factors associated to icc irreducible lattices in products of simple Lie groups of rank one are prime, i.e. they cannot be decomposed as a tensor product of $II_1$ factors. This gives the first examples of prime $II_1$ factors arising from lattices in higher rank semisimple Lie groups.
The speaker is a graduate student at the University of California in San Diego.