Groups and Operator Algebras Seminar

Speaker:  Jennifer Pi (University of Oxford)

Title: Generic Central Sequence Algebras in $\mathrm{II}_1$ Factors

Abstract:  When does a tracial von Neumann algebra admit factorial relative commutant in its own ultrapower? Is there a special class of algebras with a distinguished object M so that every algebra of the class admits an embedding into an ultrapower of M with factorial relative commutant? We consider these questions and give some partial answers via a central sequence property we call "uniformly super McDuff". This is based on a joint work with Isaac Goldbring, David Jekel, and Srivatsav Kunnawalkam Elayavalli.