61 citations · 90 across the 6 of their papers we have counts for
6 papers
Principal fibrations from noncommutative spheres
Giovanni Landi, Walter van Suijlekom
We construct noncommutative principal fibrations S_θ^7 \to S_θ^4 which are deformations of the classical SU(2) Hopf fibration over the four sphere. We realize the noncommutative ve…
The Spectral Geometry of the Equatorial Podles Sphere
Ludwik Dabrowski, Giovanni Landi, Mario Paschke +1
We propose a slight modification of the properties of a spectral geometry a la Connes, which allows for some of the algebraic relations to be satisfied only modulo compact operator…
K-Theory of Noncommutative Lattices
Elisa Ercolessi, Giovanni Landi, Paulo Teotonio-Sobrinho
Noncommutative lattices have been recently used as finite topological approximations in quantum physical models. As a first step in the construction of bundles and characteristic c…
Noncommutative Lattices and the Algebra of their Continuous Functions
Elisa Ercolessi, Giovanni Landi, Paulo Teotonio-Sobrinho
Recently a new kind of approximation to continuum topological spaces has been introduced, the approximating spaces being partially ordered sets (posets) with a finite or at most a…
Lattice Gauge Fields and Noncommutative Geometry
A. P. Balachandran, G. Bimonte, G. Landi +2
Conventional approaches to lattice gauge theories do not properly consider the topology of spacetime or of its fields. In this paper, we develop a formulation which tries to remedy…
Noncommutative Lattices and Their Continuum Limits
G. Bimonte, E. Ercolessi, G. Landi +3
We consider finite approximations of a topological space by noncommutative lattices of points. These lattices are structure spaces of noncommutative -algebras which in tur…