17 citations · 162 across the 31 of their papers we have counts for
6 papers · 1 filter
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…
Arborescence of positive Thompson links
Valeriano Aiello, Sebastian Baader
We show that the links associated with positive elements of the Thompson group coincide with the closures of bipartite arborescent tangles.
On the -colorable subgroup and maximal subgroups of Thompson's group
Valeriano Aiello, Tatiana Nagnibeda
In his work on representations of Thompson's group , Vaughan Jones defined and studied the -\emph{colorable subgroup} of . Later, Ren showed that it is isomo…
Spectral triples on irreversible -dynamical systems
Valeriano Aiello, Daniele Guido, Tommaso Isola
Given a spectral triple on a -algebra together with a unital injective endomorphism , the problem of defining a suitable crossed product -algebra endowed…
On the entropy and index of the winding endomorphisms of p-adic ring C-algebras
Valeriano Aiello, Stefano Rossi
For , the -adic ring -algebra is the universal -algebra generated by a unitary and an isometry such that and $\sum_{l=…
Positive oriented Thompson links
Valeriano Aiello, Sebastian Baader
We prove that the links associated with positive elements of the oriented subgroup of the Thompson group are positive.