Proof of the magnetic gap-labelling conjecture for principal solenoidal tori
arXiv:1806.06302 · doi:10.1016/j.jfa.2019.108323
Abstract
In this note, we prove the magnetic spectral gap-labelling conjecture as stated in [arXiv:1508.01064], in all dimensions, for principal solenoidal tori.
8 pp. Minor revision. To appear in JFA
Cited by in corpus (7)
- Beyond Diophantine Wannier diagrams: Gap labelling for Bloch-Landau Hamiltonians
- Relating Diffraction and Spectral Data of Aperiodic Tilings: Towards a Bloch theorem
- Spectral decimation of a self-similar version of almost Mathieu-type operators
- An equivariant PPV theorem and Paschke-Higson duality
- Spaces of Random Plane Triangulations and the Density of States
- A geometric Elliott invariant and noncommutative rigidity of mapping tori
- New results on tilings via cup products and Chern characters on tiling spaces