51 citations · 597 across the 45 of their papers we have counts for
46 papers
A guide to Penrose tilings
Francesco D'Andrea
The aim of this book is to provide an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the `70s. Th…
Pullback of quantum principal bundles
Francesco D'Andrea, Tomasz Maszczyk
We introduce an abstract framework of Cartesian squares beyond the context of fiber products, and use it to extend the notion of pullback from classical to compact quantum principa…
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 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.
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…
Quantum CW-complexes in a Waldhausen category for unital C*-algebras
Francesco D'Andrea, Piotr M. Hajac, Tomasz Maszczyk +2
Using the ring structure of the K-groups of finite CW-complexes, Atiyah and Todd unravelled the K-theory of complex projective spaces . Herein, in the realm of noncommutative…