17 citations · 162 across the 31 of their papers we have counts for
4 papers · 1 filter
The Homflypt polynomial and the oriented Thompson group
Valeriano Aiello, Roberto Conti, Vaughan F. R. Jones
We show how to construct unitary representations of the oriented Thompson group from oriented link invariants. In particular we show that the suitably normalised HOMFLYPT…
Spectral triples for noncommutative solenoidal spaces from self-coverings
Valeriano Aiello, Daniele Guido, Tommaso Isola
Examples of noncommutative self-coverings are described, and spectral triples on the base space are extended to spectral triples on the inductive family of coverings, in such a way…
A look at the inner structure of the -adic ring -algebra and its automorphism groups
Valeriano Aiello, Roberto Conti, Stefano Rossi
We undertake a systematic study of the so-called -adic ring -algebra . This is the universal -algebra generated by a unitary and an isometry s…
The Jones polynomial and functions of positive type on the oriented Jones-Thompson groups and
Valeriano Aiello, Roberto Conti
The pioneering work of Jones and Kauffman unveiled a fruitful relationship between statistical mechanics and knot theory. Recently, Jones introduced two subgroups and $\v…