159 citations · 632 across the 22 of their papers we have counts for
18 papers · 1 filter
Irreducibility of the Wysiwyg representations of Thompson's groups
Vaughan F. R. Jones
We prove irreducibility and mutual inequivalence for certain unitary representations of R. Thompson's groups F and T.
Scale invariant transfer matrices and Hamiltionians
Vaughan F. R. Jones
Given a direct system of Hilbert spaces (with isometric inclusion maps for ) corresponding to quantum…
A no-go theorem for the continuum limit of a periodic quantum spin chain
Vaughan F. R. Jones
We show that the Hilbert space formed from a block spin renormalization construction of a cyclic quantum spin chain (based on the Temperley-Lieb algebra) does not support a chiral…
Hilbert modules over a planar algebra and the Haagerup property
Arnaud Brothier, Vaughan Jones
Given a subfactor planar algebra P and a Hilbert P-module of lowest weight 0 we build a bimodule over the symmetric enveloping inclusion associated to P. As an application we prove…
Singly generated planar algebras of small dimension, Part III
Dietmar Bisch, Vaughan F. R. Jones, Zhengwei Liu
The first two authors classified subfactor planar algebra generated by a non-trivial 2-box subject to the condition that the dimension of 3-boxes is at most 12 in Part I; 13 in Par…
Infinite index subfactors and the GICAR categories
Vaughan F. R. Jones, David Penneys
Given a II-subfactor of arbitrary index, we show that the rectangular GICAR category, also called the rectangular planar rook category, faithfully embeds as …