4 citations · 7 across the 3 of their papers we have counts for
5 papers
Intermediate Subfactors with No Extra Structure
Pinhas Grossman, Vaughan F. R. Jones
If are type II_1 factors with and finite we show that restrictions on the standard invariants of the elementary inclusions $N \…
Intersections of finite families of finite index subfactors
Vaughan F. R. Jones, Feng Xu
We prove that finiteness of the index of the intersection of a finite set of finite index subalgebras in a von Neumann algebra (with small centre) is equivalent to the finite dimen…
In and around the origin of quantum groups
Vaughan F. R. Jones
Quantum groups were invented largely to provide solutions of the Yang-Baxter equation and hence solvable models in 2-dimensional statistical mechanics and one-dimensional quantum m…
The Annular Structure of Subfactors
Vaughan F. R. Jones
Given a planar algebra we show the equivalence of the notions of a module over this algebra (in the operadic sense), and module over a universal annular algebra. We classify such m…
Planar algebras, I
Vaughan F. R. Jones
We introduce a notion of planar algebra, the simplest example of which is a vector space of tensors, closed under planar contractions. A planar algebra with suitable positivity pro…