GAP-LABELLING THEOREMS FOR SCHRÖDINGER OPERATORS ON THE SQUARE AND CUBIC LATTICE
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Publication:4296621
DOI10.1142/S0129055X94000158zbMath0804.47053MaRDI QIDQ4296621
Publication date: 12 January 1995
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
density of statescalculation of frequencies of patterns in the potential sequencegap-labelling theoremnon-commutative topological \(K\)-theorySchrödinger operators on the square and cubic lattice
(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of partial differential operators (47F05) Quantum field theory on lattices (81T25)
Related Items (11)
Spaces of tilings, finite telescopic approximations and gap-labeling ⋮ A spectral sequence for theK-theory of tiling spaces ⋮ Cyclic cohomology for graded \(C^{\ast,r}\)-algebras and its pairings with van Daele \(K\)-theory ⋮ Gap-labelling conjecture with nonzero magnetic field ⋮ Transverse Laplacians for substitution tilings ⋮ \(K\)-theory of two-dimensional substitution tiling spaces from \textit{AF}-algebras ⋮ Gabor frames for quasicrystals, \(K\)-theory, and twisted gap labeling ⋮ PV cohomology of the pinwheel tilings, their integer group of coinvariants and gap-labeling ⋮ Index theory for quasi-crystals. I: Computation of the gap-label group ⋮ Proof of the magnetic gap-labelling conjecture for principal solenoidal tori ⋮ Relating diffraction and spectral data of aperiodic tilings: towards a Bloch theorem
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