Francesco D’Andrea

Learn More
We construct a family of self-adjoint operators DN , N ∈ Z, which have compact resolvent and bounded commutators with the coordinate algebra of the quantum projective space CP q , for any ≥ 2 and 0 < q < 1. They provide 0 +-dimensional equivariant even spectral triples. If is odd and N = 1 2 (+ 1), the spectral triple is real with KO-dimension 2 mod 8.
We construct spectral triples on all Podle´s quantum spheres S 2 qt. These noncom-mutative geometries are equivariant for a left action of U q (su(2)) and are regular, even and of metric dimension 2. They are all isospectral to the undeformed round geometry of the sphere S 2. There is also an equivariant real structure for which both the commutant property(More)
Equivariance under the action of U q (so(5)) is used to compute the left regular and (chiral) spinorial representations of the algebra of the quantum Euclidean 4-sphere S 4 q. These representations are the constituents of a spectral triple on S 4 q with a Dirac operator which is isospectral to the canonical one of the spin structure of the round sphere S 4(More)
Equivariance under the action of U q (so(5)) is used to compute the left regular and (chiral) spinorial representations of the algebra of the orthogonal quantum 4-sphere S 4 q. These representations are the constituents of a spectral triple on S 4 q with a Dirac operator which is isospectral to the canonical one on the round sphere S 4 and which then gives(More)
INTRODUCTION Lipomas are the most common benign tumors of the adipose tissue and can be located in any region of the body. In most cases lipomas are small and asymptomatic, but they can at times reach considerable dimensions and, depending on their anatomic site, hinder movements, get inflamed, cause lymphedema, pain and/or a compression syndrome. (More)
In this thesis I study various aspects of theories in the two most studied examples of non-commutative spacetimes: canonical spacetime ([x µ , x ν ] = θ µν) and κ-Minkowski spacetime ([x i , t] = κ −1 x i). In the first part of the thesis I consider the description of the propagation of " classical " waves in these spacetimes. In the case of κ-Minkowski(More)