Proof of the magnetic gap-labelling conjecture for principal solenoidal tori

Moulay Tahar Benameur (1) , Varghese Mathai (2)

1 IMAG - Institut Montpelliérain Alexander Grothendieck
2 Department of Mathematics

In this note, we prove the magnetic spectral gap-labelling conjecture as stated in [arXiv:1508.01064], in all dimensions, for principal solenoidal tori.

Domaines: Topologie géométrique [math.GT]; Physique mathématique [math-ph]; Algèbres d'opérateurs [math.OA]

Moulay Tahar Benameur, Varghese Mathai. Proof of the magnetic gap-labelling conjecture for principal solenoidal tori. Journal of Functional Analysis, 2020, 278 (Issue 3), ⟨10.1016/j.jfa.2019.108323⟩. ⟨hal-01819171⟩