198 citations · 1.1k across the 43 of their papers we have counts for
43 papers
Self-Similar Topological Fractals
Fabio E. G. Cipriani, Daniele Guido, Tommaso Isola +1
We introduce the notion of (abelian) similarity scheme, as a constructive model for topological self-similar fractals, in the same way in which the notion of iterated function syst…
A Note on Twisted Crossed Products and Spectral Triples
P. Antonini, D. Guido, T. Isola +1
Starting with a spectral triple on a unital -algebra with an action of a discrete group , if the action is uniformly bounded (in a Lipschitz sense) a spectral triple…
A noncommutative Sierpinski Gasket
Fabio Cipriani, Daniele Guido, Tommaso Isola +1
A quantized version of the Sierpinski gasket is proposed, on purely topological grounds, as a -algebra with a suitable form of self-similarity. Several pr…
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…
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…
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…