9 citations · 10 across the 2 of their papers we have counts for
4 papers · 1 filter
Jones' representations of R. Thompson's groups not induced by finite-dimensional ones
Arnaud Brothier, Dilshan Wijesena
Given any linear isometry from a Hilbert space to its square one can explicitly construct a so-called Pythagorean unitary representation of Richard Thompson's group F. We introduce…
Classification of Thompson related groups arising from Jones technology II
Arnaud Brothier
In this second article, we continue to study classes of groups constructed from a functorial method due to Vaughan Jones. A key observation of the author shows that these groups ha…
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…
On the Haagerup and Kazhdan properties of R. Thompson's groups
Arnaud Brothier, Vaughan F. R. Jones
A machine developed by the second author produces a rich family of unitary representations of the Thompson groups F,T and V. We use it to give direct proofs of two previously known…