Factorial relative commutants and the generalized Jung property for II${}_1$ factors

Scott Atkinson, Isaac Goldbring, Srivatsav Kunnawalkam Elayavalli

We introduce the notion of a generalized Jung factor: a II${}_1$ factor $M$ for which any two embeddings of $M$ into its ultrapower $M^{\mathcal{U}}$ are equivalent by an automorphism…