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

DOI10.1016/j.jfa.2019.108323zbMath1429.58039arXiv1806.06302OpenAlexW2808626626WikidataQ127209384 ScholiaQ127209384MaRDI QIDQ2007977

Varghese Mathai, Moulay Tahar Benameur

Publication date: 22 November 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06302

zbMATH Keywords

magnetic Schrödinger operatorsprincipal solenoidal torispectral gap-labelling with nonzero magnetic field

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Many-body theory; quantum Hall effect (81V70) Quasicrystals and aperiodic tilings in discrete geometry (52C23) (K_0) as an ordered group, traces (19K14)

Related Items (5)

Spectral decimation of a self-similar version of almost Mathieu-type operators ⋮ Beyond Diophantine Wannier diagrams: gap labelling for Bloch-Landau Hamiltonians ⋮ Bragg spectrum, K-theory, and gap labeling of aperiodic solids ⋮ An equivariant PPV theorem and Paschke-Higson duality ⋮ Relating diffraction and spectral data of aperiodic tilings: towards a Bloch theorem

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