Scientists / Open questions

Vaughan F.R. Jones

Operator algebras; knot theory

1990 Fields Medal

4 questions

  1. Does the Markov property imply a finite Pimsner–Popa basis for connected inclusions of finite von Neumann algebras with diffuse centers?

  2. Existence of an infinite-index II_1-subfactor with the GICAR (planar rook) standard invariant

  3. Almost TT-invariant vectors and continuity of rotations for Pythagorean representations of Thompson's groups

  4. A general branch-matrix / rotation-eigenvalue correspondence for flat biunitary connections in subfactor theory

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