K-théorie des quasi-cristaux, image par la trace : le cas du réseau octogonal

DOI10.1016/S0764-4442(97)89470-0zbMath0920.19003OpenAlexW1968056429MaRDI QIDQ4217004

André Legrand, Edouard Contensou, Jean Bellissard

Publication date: 7 January 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(97)89470-0

zbMATH Keywords

crossed productquasicrystalKasparov spectral sequence

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35)

Related Items (8)

T-duality simplifies bulk-boundary correspondence ⋮ Spaces of tilings, finite telescopic approximations and gap-labeling ⋮ A spectral sequence for theK-theory of tiling spaces ⋮ Gap-labelling conjecture with nonzero magnetic field ⋮ Non-commutative methods for the K-theory of \(C^*\)-algebras of aperiodic patterns from cut-and-project systems ⋮ Index theory for quasi-crystals. I: Computation of the gap-label group ⋮ Proof of the magnetic gap-labelling conjecture for principal solenoidal tori ⋮ Computation of the gap-labelling for quasi-crystals

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