Relating diffraction and spectral data of aperiodic tilings: towards a Bloch theorem

DOI10.1016/j.geomphys.2021.104217zbMath1467.52029arXiv2007.15961OpenAlexW3046746830MaRDI QIDQ2032675

Eric Akkermans, Claude L. Schochet, Yaroslav Don, Jonathan M. Rosenberg

Publication date: 14 June 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15961

zbMATH Keywords

Čech cohomologytilingBloch theoremdiffraction spectrumgap labeling\(K\)-theory for \(C^\ast\)-algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Noncommutative global analysis, noncommutative residues (58J42) Index theory (19K56) (K_0) as an ordered group, traces (19K14) Tiling dynamics (37B52)

Related Items

Spectral decimation of a self-similar version of almost Mathieu-type operators, Bragg spectrum, K-theory, and gap labeling of aperiodic solids, Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs

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