Transverse Laplacians for substitution tilings

DOI10.1007/s00220-010-1150-4zbMath1217.46045arXiv0908.1095OpenAlexW2075902785MaRDI QIDQ623346

Antoine Julien, Jean Savinien

Publication date: 14 February 2011

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1095

zbMATH Keywords

Cuntz-Krieger algebrasheat kernelsspectral tripleLaplace-Beltrami operatorsBratteli diagramsultrametric Cantor sets

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative geometry (à la Connes) (58B34) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Cut and project sets with polytopal window II: linear repetitivity ⋮ Complexity as a homeomorphism invariant for tiling spaces ⋮ Wavelets and spectral triples for fractal representations of Cuntz algebras ⋮ Spectral triples for higher-rank graph $C^*$-algebras ⋮ Fractal spectral triples on Kellendonk's \(C^\ast\)-algebra of a substitution tiling ⋮ Spectral triples for the Sierpinski gasket ⋮ Spectral triples and wavelets for higher-rank graphs ⋮ Embeddings of self-similar ultrametric Cantor sets ⋮ DIRICHLET FORMS AND ULTRAMETRIC CANTOR SETS ASSOCIATED TO HIGHER-RANK GRAPHS ⋮ Generalized gauge actions on $\kappa$-graph $C*-Algebras: KMS states and Hausdorff structure

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