Divided differences in noncommutative geometry: rearrangement lemma, functional calculus and expansional formula

DOI10.4171/JNCG/11-1-6zbMath1373.46067arXiv1405.0863OpenAlexW2964092216WikidataQ124962525 ScholiaQ124962525MaRDI QIDQ528837

Matthias Lesch

Publication date: 16 May 2017

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

Full work available at URL: https://arxiv.org/abs/1405.0863

zbMATH Keywords

noncommutative tori

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative geometry (à la Connes) (58B34)

Related Items

Modular curvature and Morita equivalence ⋮ Heat trace for Laplace type operators with non-scalar symbols ⋮ Gauss-Bonnet for matrix conformally rescaled Dirac ⋮ Scalar curvature in conformal geometry of Connes-Landi noncommutative manifolds ⋮ The Ricci curvature for noncommutative three tori ⋮ Curvature in noncommutative geometry ⋮ Modular Gaussian curvature ⋮ Heat asymptotics for nonminimal Laplace type operators and application to noncommutative tori ⋮ On the scalar curvature for the noncommutative four torus

Cites Work

• Modular curvature and Morita equivalence
• The Gauss-Bonnet theorem for noncommutative two tori with a general conformal structure
• Functionals of exponential Brownian motion and divided differences
• The Ricci flow on noncommutative two-tori
• Scalar curvature for the noncommutative two torus
• The Gauss-Bonnet Theorem for the noncommutative two torus
• Modular curvature for noncommutative two-tori
• Tensor Products of Banach Algebras
• On the exponential solution of differential equations for a linear operator
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