159 citations · 632 across the 22 of their papers we have counts for
28 papers
Motzkin Algebras and the Tensor Categories of Bimodules
Vaughan F. R. Jones, Jun Yang
We discuss the structure of the Motzkin algebra by introducing a sequence of idempotents and the basic construction. We show that admits a factor tr…
Bergman space zero sets, modular forms, von Neumann algebras and ordered groups
Vaughan F. R. Jones
will denote the weighted Bergman space. Given a subset of the open unit disc we define to be the infimum of $\{s| \exists f \in A^2_{s-2}, f\neq 0, \mbox{…
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.
On spectral measures for certain unitary representations of R. Thompson's group F
Valeriano Aiello, Vaughan F. R. Jones
The Hilbert space of backward renormalisation of an anyonic quantum spin chain affords a unitary representation of Thompson's group via local scale transformations…
On the construction of knots and links from Thompson's groups
Vaughan F. R. Jones
We review recent developments in the theory of Thompson group representations related to knot theory.
Pythagorean representations of Thompson's groups
Arnaud Brothier, Vaughan F. R. Jones
We introduce the Pythagorean C*-algebras and use the category/functor method to construct unitary representations of Thompson's groups from representations of them. We calculate se…