51 citations · 597 across the 45 of their papers we have counts for
7 papers · 1 filter
Tolerance Relations and Quantization
Francesco D'Andrea, Giovanni Landi, Fedele Lizzi
It is well known that "bad" quotient spaces (typically: non-Hausdorff) can be studied by associating to them the groupoid C*-algebra of an equivalence relation, that in the "nice"…
On the pseudo-manifold of quantum states
Francesco D'Andrea, Davide Franco
There are various statements in the physics literature about the stratification of quantum states, for example into orbits of a unitary group, and about generalized differentiable…
A dual formula for the spectral distance in noncommutative geometry
Francesco D'Andrea, Pierre Martinetti
In noncommutative geometry, Connes's spectral distance is an extended metric on the state space of a C*-algebra generalizing Kantorovich's dual formula of the Wasserstein distance…
Quantum Kählerian Lie groups from multiplicative unitaries
P. Bieliavsky, Ph. Bonneau, F. D'Andrea +1
We show that the deformation theory of Fréchet algebras for actions of Kählerian Lie groups developed by two of us, leads in a natural way to examples of non-compact locally compac…
Modules over the Noncommutative Torus and Elliptic Curves
Francesco D'Andrea, Gaetano Fiore, Davide Franco
Using the Weil-Brezin-Zak transform of solid state physics, we describe line bundles over elliptic curves in terms of Weyl operators. We then discuss the connection with finitely-g…
A View on Optimal Transport from Noncommutative Geometry
Francesco D'Andrea, Pierre Martinetti
We discuss the relation between the Wasserstein distance of order 1 between probability distributions on a metric space, arising in the study of Monge-Kantorovich transport problem…