A spectral sequence for theK-theory of tiling spaces

DOI10.1017/S0143385708000539zbMath1205.37028arXiv0705.2483MaRDI QIDQ5322034

Jean Savinien, Jean Bellissard

Publication date: 17 July 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.2483

zbMATH Keywords

spectral sequenceK-theorytiling spacePimsner-Voiculescu exact sequence

Mathematics Subject Classification ID

Related Items (13)

Constraints on pure point diffraction on aperiodic point patterns of finite local complexity* ⋮ Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases ⋮ Remarks on the \(K\)-theory of \(C^*\)-algebras of products of odometers ⋮ Homology andK-theory of dynamical systems I. Torsion-free ample groupoids ⋮ Non-commutative Chern numbers for generic aperiodic discrete systems ⋮ Index theory and topological phases of aperiodic lattices ⋮ Tiling groupoids and Bratteli diagrams ⋮ Non-commutative methods for the K-theory of \(C^*\)-algebras of aperiodic patterns from cut-and-project systems ⋮ \(K\)-theory of two-dimensional substitution tiling spaces from \textit{AF}-algebras ⋮ On the K-theory of the stable C\(^{*}\)-algebras from substitution tilings ⋮ PV cohomology of the pinwheel tilings, their integer group of coinvariants and gap-labeling ⋮ On the -theory of -algebras arising from integral dynamics ⋮ Comparing different versions of tiling cohomology

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