Uploaded June 2026 | Updated September 2026, 3 days ago
The 25th Midrasha Mathematicae on Groups, Expanders and Codes -- Celebrating Alex Lubotzky's 70th birthday.
Day 2, Session 1
Speaker: Michael Chapman (IAS)
Title: Connes' embedding problem and its quantum information theoretic resolution, part 2
Abstract: In his effort to classify von Neumann algebras, Alain Connes asked whether tracial von Neumann algebras are always embeddable in a certain universal one. This became a major open problem in the theory of operator algebras. It was recently resolved by Ji, Natarajan, Vidick, Wright and Yuen using quantum information theoretic techniques. I will survey this development.
The 25th Midrasha Mathematicae on Groups, Expanders and Codes -- Celebrating Alex Lubotzky's 70th birthday.
Day 2, Session 1
Speaker: Michael Chapman (IAS)
Title: Connes' embedding problem and its quantum information theoretic resolution, part 2
Abstract: In his effort to classify von Neumann algebras, Alain Connes asked whether tracial von Neumann algebras are always embeddable in a certain universal one. This became a major open problem in the theory of operator algebras. It was recently resolved by Ji, Natarajan, Vidick, Wright and Yuen using quantum information theoretic techniques. I will survey this development.










