On Popa's factorial commutant embedding problem

22 Mar 2020 Goldbring Isaac

An open question of Sorin Popa asks whether or not every $R^{\mathcal{U}}$-embeddable factor admits an embedding into $R^{\mathcal{U}}$ with factorial relative commutant. We show that there is a locally universal McDuff II$_1$ factor $M$ such that every property (T) factor admits an embedding into $M^{\mathcal{U}}$ with factorial relative commutant... (read more)

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  • OPERATOR ALGEBRAS
  • LOGIC