ListarMatemática por tema "geometría no conmutativa"
Mostrando ítems 1-8 de 8
-
Connes' tangent groupoid and strict quantization
(1999-12)We address one of the open problems in quantization theory recently listed by Rieffel. By developing in detail Connes' tangent groupoid principle and using previous work by Landsman, we show how to construct a strict flabby ... -
Fourier analysis on the affine group, quantization and noncompact Connes geometries
(2008-04)We find the Stratonovich-Weyl quantizer for the nonunimodular affine group of the line. A noncommutative product of functions on the half-plane, underlying a noncompact spectral triple in the sense of Connes, is obtained ... -
Metric properties of the fuzzy sphere
(2013-02)The fuzzy sphere, as a quantum metric space, carries a sequence of metrics which we describe in detail. We show that the Bloch coherent states, with these spectral distances, form a sequence of metric spaces that converge ... -
Noncommutative geometry and quantization
(2000-06)We examine some recent developments in noncommutative geometry, including spin geometries on noncommutative tori and their quantization by the Shale-Stinespring procedure, as well as the emergence of Hopf algebras as a ... -
On summability of distributions and spectral geometry
(1998-01)Modulo the moment asymptotic expansion, the Cesàro and parametric behaviours of distributions at infinity are equivalent. On the strength of this result, we construct the asymptotic analysis for spectral densities arising ... -
On the ultraviolet behaviour of quantum fields over noncommutative manifolds
(1999-03)By exploiting the relation between Fredholm modules and the Segal-Shale-Stinespring version of canonical quantization, and taking as starting point the first-quantized fields described by Connes' axioms for noncommutative ... -
Reconstruction of manifolds in noncommutative geometry
(2008-01-31)We show that the algebra A of a commutative unital spectral triple (A,H,D) satisfying several additional conditions, slightly stronger than those proposed by Connes, is the algebra of smooth functions on a compact spin manifold. -
Riemannian manifolds in noncommutative geometry
(2012-07)We present a definition of Riemannian manifold in noncommutative geometry. Using products of unbounded Kasparov modules, we show one can obtain such Riemannian manifolds from noncommutative spin^c manifolds; and conversely, ...