Spectral triples and wavelets for higher-rank graphs

DOI10.1016/j.jmaa.2019.123572zbMath1446.46037arXiv1803.09304OpenAlexW2978500537MaRDI QIDQ2009286

Sooran Kang, Antoine Julien, Carla Farsi, Elizabeth Gillaspy, Judith A. Packer

Publication date: 28 November 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09304

zbMATH Keywords

waveletsLaplace-Beltrami operatorDixmier tracehigher-rank graphfinitely summable spectral triple\( \zeta \)-function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Noncommutative differential geometry (46L87) General theory of (C^*)-algebras (46L05) Graph theory (05C99)

Related Items (9)

Cocycles on groupoids arising from -actions ⋮ Isometries of Kellendonk–Savinien spectral triples and Connes metrics ⋮ \(K\)-theory for real \(k\)-graph \(C^\ast\)-algebras ⋮ Wavelets and spectral triples for fractal representations of Cuntz algebras ⋮ Monic representations of finite higher-rank graphs ⋮ Higman–Thompson‐like groups of higher rank graph C*‐algebras ⋮ Spectral triples for higher-rank graph $C^*$-algebras ⋮ 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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