37 citations · 104 across the 27 of their papers we have counts for
5 papers · 1 filter
On Jones' connections between subfactors, conformal field theory, Thompson's groups and knots
Arnaud Brothier
Surprisingly Richard Thompson's groups have recently appeared in Jones' subfactor theory. Vaughan Jones is famous for linking theories that are a priori completely disconnected; fo…
Canonical quantization of 1+1-dimensional Yang-Mills theory: An operator-algebraic approach
Arnaud Brothier, Alexander Stottmeister
We present a mathematically rigorous canonical quantization of Yang-Mills theory in 1+1 dimensions (YM) by operator-algebraic methods. The latter are based on Hamiltonian l…
Haagerup property for wreath products constructed with Thompson's groups
Arnaud Brothier
Using recent techniques introduced by Jones we prove that a large family of discrete groups and groupoids have the Haagerup property. In particular, we show that if G is a discrete…
Jones representations of Thompson's group arising from Temperley-Lieb-Jones algebras
Valeriano Aiello, Arnaud Brothier, Roberto Conti
Following a procedure due to V. Jones, using suitably normalized elements in a Temperley-Lieb-Jones (planar) algebra we introduce a 3-parametric family of unitary representations o…
Operator-algebraic construction of gauge theories and Jones' actions of Thompson's groups
Arnaud Brothier, Alexander Stottmeister
Using ideas from Jones, lattice gauge theory and loop quantum gravity, we construct 1+1-dimensional gauge theories on a spacetime cylinder. Given a separable compact group , we…