17 citations · 162 across the 31 of their papers we have counts for
6 papers · 1 filter
On the oriented Thompson subgroup and its relatives in higher Brown-Thompson groups
Valeriano Aiello, Tatiana Nagnibeda
A few years ago the so-called oriented subgroup of the Thompson group was introduced by V. Jones while investigating the connections between subfactors and conformal f…
A Fejér theorem for boundary quotients arising from algebraic dynamical systems
Valeriano Aiello, Roberto Conti, Stefano Rossi
A Fejér-type theorem is proved within the framework of -algebras associated with certain irreversible algebraic dynamical systems. This makes it possible to strengthen a resul…
Remarks on some maximal subgroups of and on the -index of knots
Valeriano Aiello
We demonstrate that three maximal subgroups of infinite index in the rectangular subgroup \( K_{(2,2)} \) of the Thompson group \( F \), each containing Jones's \( 3 \)-colorable s…
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…
Normalizers and permutative endomorphisms of the -adic ring -algebra
Valeriano Aiello, Roberto Conti, Stefano Rossi
A complete description is provided for the unitary normalizer of the diagonal Cartan subalgebra in the -adic ring -algebra , which generalize…
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…