Operator Algebra Seminar

Speaker: Cyril Houdayer (CNRS -- Université Paris-Est -- Marne-la-Vallée)

Title: Unique prime factorization and bicentralizer problem for a class of type III factors

Abstract: I will present new unique prime factorization results for tensor product von Neumann algebras where each tensor component belongs to a large class of nonamenable factors that includes all free Araki-Woods factors. I will moreover present new results regarding the structure of bicentralizer algebras and show that Connes's bicentralizer problem has a positive solution for all solid type III_1 factors. This is joint work with Yusuke Isono.