minimal, the corresponding Integrated Density of States of any self-adjoint operator affiliated to the twisted crossed product algebra C(Sigma) sic(sigma) Z(p), where a is the multiplier on Z(p) associated to circle minus, takes on values on spectral gaps in the magnetic gap-labelling group...
Gap-labelling for quasi-crystals (proving a conjecture by J. Bellissard) In the present paper, we give a proof of the gap-labelling conjecture for quasi-crystals. The main tools are the measured index theorem for laminations and... MT Benameur,H Oyono-Oyono 被引量: 34发表: 2001年 Gazi...
Benameur, M.-T., Mathai, V.: Gap-labelling conjecture with non-zero magnetic field. arXiv:1508.01064M. T. Benameur, V. Mathai, Gap-labelling conjecture with nonzero magnetic field, arXiv:1508.01064, preprint 2015.M.T. Benameur and V. Mathai: Gap-labelling conjecture with ...
Proof of the magnetic gap-labelling conjecture for principal solenoidal toriIn this note, we prove the magnetic spectral gap-labelling conjecture as stated in [ arXiv:1508.01064 ], in all dimensions, for principal solenoidal tori.doi:10.1016/j.jfa.2019.108323Benameur, Moulay Tahar...
We give in the present Note a proof of the Bellissard gap-labelling conjecture for quasi-crystals. Our main tools are the measured index theorem for laminations on the one hand, and the naturality of the longitudinal Chern character on the other hand. To cite this article: M.-T. Bename...
Proof of the magnetic gap-labelling conjecture for principal solenoidal toridoi:10.1016/J.JFA.2019.108323Moulay Tahar BenameurVarghese MathaiAcademic Press
We give in the present Note a proof of the Bellissard gap-labelling conjecture for quasi-crystals. Our main tools are the measured index theorem for laminations on the one hand, and the naturality of the longitudinal Chern character on the other hand. To cite this article: M.-T. Bename...
In this paper, we give a complete solution to the gap labelling conjecture for quasi-crystals. The method adopted relies on the index theory for laminations, and the main tools are the Connes–Skandalis longitudinal K-theory index morphism together with the measured index formula.Benameur...
K-theoryIn this paper, we give a complete solution to the gap labelling conjecture for quasi-crystals. The method adopted relies on the index theory for laminations, and the main tools are the Connes–Skandalis longitudinal K-theory index morphism together with the measured index formula....
The gap chromatic number gap(G) is the minimum k, for which a labelling f of G exists such that l is injective. It is conjectured in Tahraoui etal. (2012) that, for all graphs without isolated edges or vertices (connected or not), gap(G)≤n+1, but the only general bound proved...