January 29, 2021
On Heirs
We will introduce the notion of types and heirs in the context of embeddings into ultraproducts. As an application, we will prove that if any two embeddings of a Connes embeddable II_1 factor M into its own ultrapower are equivalent by an automorphism, then M is isomorphic to R. Time permitting, we will discuss the situation of embeddings into R^omega. Based on joint work with S. Atkinson and I. Goldbring.