scientific article; zbMATH DE number 6277414

zbMath1284.46057arXivmath/0112113MaRDI QIDQ5406777

Hervé Oyono-Oyono, Moulay Tahar Benameur

Publication date: 2 April 2014

Full work available at URL: https://arxiv.org/abs/math/0112113

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zbMATH Keywords

\(K\)-theoryCantor dynamical systemgap-labellinglongitudinal index theorem for foliated spaces

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Schrödinger operator, Schrödinger equation (35J10) Many-body theory; quantum Hall effect (81V70) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Noncommutative global analysis, noncommutative residues (58J42) (K_0) as an ordered group, traces (19K14)

Related Items (10)

Étale groupoids arising from products of shifts of finite type ⋮ Gap-labelling conjecture with nonzero magnetic field ⋮ Transverse Laplacians for substitution tilings ⋮ Fundamental group of uniquely ergodic Cantor minimal systems ⋮ The Cech cohomology and the spectrum for 1-dimensional tiling systems ⋮ Brillouin zone labelling for quasicrystals ⋮ Proof of the magnetic gap-labelling conjecture for principal solenoidal tori ⋮ Relating diffraction and spectral data of aperiodic tilings: towards a Bloch theorem ⋮ Groupoids, von Neumann algebras and the integrated density of states ⋮ Gap labelling and the pressure on the boundary

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