Gabor frames for quasicrystals, \(K\)-theory, and twisted gap labeling

DOI10.1016/j.jfa.2015.11.011zbMath1360.19011arXiv1411.7269OpenAlexW2963293703MaRDI QIDQ906312

Michael Kreisel

Publication date: 21 January 2016

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

Full work available at URL: https://arxiv.org/abs/1411.7269

zbMATH Keywords

quasicrystalsGabor analysisgap labeling

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory (19K56) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items (10)

\(K\)-theory of the chair tiling via \(AF\)-algebras ⋮ Gap-labelling conjecture with nonzero magnetic field ⋮ Modulation spaces as a smooth structure in noncommutative geometry ⋮ Relating diffraction and spectral data of aperiodic tilings: towards a Bloch theorem ⋮ K-theory and homotopies of twists on ample groupoids ⋮ Spectral invariance of \(\ast\)-representations of twisted convolution algebras with applications in Gabor analysis ⋮ Localised module frames and Wannier bases from groupoid Morita equivalences ⋮ Frames of translates for model sets ⋮ Gabor frames for model sets ⋮ Groupoids and Hermitian Banach *-algebras

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