A combinatorial Fredholm module on self-similar sets built on \(n\)-cubes

DOI10.4171/jfg/132arXiv1912.05832OpenAlexW4386055840MaRDI QIDQ6080842

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Publication date: 25 October 2023

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05832

zbMATH Keywords

Hausdorff dimensionspectral tripleself-similar setFredholm module

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Fractals (28A80)

Cites Work

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• Spectral triples for nested fractals
• Fredholm modules on P.C.F. self-similar fractals and their conformal geometry
• Derivations and Dirichlet forms on fractals
• Dirac operators and spectral triples for some fractal sets built on curves
• Quantized differential forms

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