3 citations · 3 across the 1 of their papers we have counts for
7 papers
On the cyclic automorphism of the Cuntz algebra and its fixed-point algebra
Valeriano Aiello, Stefano Rossi
We investigate the structure of the fixed-point algebra of under the action of the cyclic permutation of the generating isometries. We prove that it is -isomorph…
A Spectral Triple for a Solenoid Based on the Sierpinski Gasket
Valeriano Aiello, Daniele Guido, Tommaso Isola
The Sierpinski gasket admits a locally isometric ramified self-covering. A semifinite spectral triple is constructed on the resulting solenoidal space, and its main geometrical fea…
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…
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…
On the Alexander Theorem for the oriented Thompson group
Valeriano Aiello
In [Jo14] and [Jo18] Vaughan Jones introduced a construction which yields oriented knots and links from elements of the oriented Thompson group . In this paper we prove, b…