A p-adic spectral triple

DOI10.1063/1.4900923zbMath1315.81058arXiv1403.7263OpenAlexW1998412015MaRDI QIDQ2934202

Matt McBride, Sumedha Rathnayake, Sławomir Klimek-Chudy

Publication date: 11 December 2014

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

Full work available at URL: https://arxiv.org/abs/1403.7263

zbMATH Keywords

noncommutative geometry\(p\)-adic metricrooted treespectral triple\(p\)-adic integers\(p\)-adic treeDirac type operator\(p\)-adic normforward derivative\(p\)-adic Fourier transformCantor metric space

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative geometry methods in quantum field theory (81T75) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative geometry in quantum theory (81R60) Spectral sets of linear operators (47A25)

Related Items (3)

Aspects of noncommutative geometry of Bunce-Deddens algebras ⋮ A note on spectral properties of the p-adic tree ⋮ Spectral triples for nonarchimedean local fields

Cites Work

• Riemannian manifolds in noncommutative geometry
• D-bar operators on quantum domains
• Metrics on states from actions of compact groups
• Metrics on state spaces
• Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets
• A note on spectral properties of the p-adic tree
• Compact metric spaces, Fredholm modules, and hyperfiniteness
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