51 citations · 597 across the 45 of their papers we have counts for
5 papers · 1 filter
Topics in Noncommutative Geometry
Francesco D'Andrea
The leitmotiv of this review is noncommutative principal U(1)-bundles and associated line bundles. In the first part I give a brief introduction to Hopf-Galois theory and its appli…
Non-Associative Geometry of Quantum Tori
Francesco D'Andrea, Davide Franco
We describe how to obtain the imprimitivity bimodules of the noncommutative torus from a "principal bundle" construction, where the total space is a quasi-associative deformation o…
Pythagoras Theorem in Noncommutative Geometry
Francesco D'Andrea
After a review of the results in arXiv:1203.3184 [math-ph] about Pythagorean inequalities for products of spectral triples, I will present some new results and discuss classes of s…
Pimsner algebras and circle bundles
Francesca Arici, Francesco D'Andrea, Giovanni Landi
We report on the connections between noncommutative principal circle bundles, Pimsner algebras and strongly graded algebras. We illustrate several results with the examples of quan…
The Standard Model in Noncommutative Geometry and Morita equivalence
Francesco D'Andrea, Ludwik Dabrowski
We discuss some properties of the spectral triple describing the internal space in the noncommutative geometry approach to the Standard Model, with $A_F=\ma…