51 citations · 597 across the 45 of their papers we have counts for
19 papers · 1 filter
On irreducible representations of a class of quantum spheres
Francesco D'Andrea, Giovanni Landi
We study irreducible representations of a class of quantum spheres, quotients of quantum symplectic spheres.
Twisted reality and the second-order condition
Ludwik Dabrowski, Francesco D'Andrea, Adam M. Magee
An interesting feature of the finite-dimensional real spectral triple (A,H,D,J) of the Standard Model is that it satisfies a ``second-order'' condition: conjugation by J maps the C…
Twist star products and Morita equivalence
Francesco D'Andrea, Thomas Weber
We present a simple no-go theorem for the existence of a deformation quantization of a homogeneous space M induced by a Drinfel'd twist: we argue that equivariant line bundles on M…
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…
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…