A note on spectral properties of the p-adic tree

DOI10.1063/1.4940339zbMath1345.81066arXiv1503.03053OpenAlexW1955264105WikidataQ63646603 ScholiaQ63646603MaRDI QIDQ2795593

Kaoru Sakai, Sumedha Rathnayake, Sławomir Klimek-Chudy

Publication date: 21 March 2016

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

Full work available at URL: https://arxiv.org/abs/1503.03053

zbMATH Keywords

spectral triple\(p\)-adicMichon's correspondenceweighted rooted tree

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative geometry methods in quantum field theory (81T75) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative geometry in quantum theory (81R60) (p)-adic theory, local fields (11F85)

Related Items (3)

Characteristic functions of 𝑝-adic integral operators ⋮ A p-adic spectral triple ⋮ Spectral triples for nonarchimedean local fields

Cites Work

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• The roots of the third J. Jckson \(q\)-Bessel function
• Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets
• A p-adic spectral triple

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