Connes’s trace theorem for curved noncommutative tori: Application to scalar curvature

DOI10.1063/5.0005052zbMath1443.58017arXiv1912.07113OpenAlexW3106237380MaRDI QIDQ3298909

Raphaël Ponge

Publication date: 16 July 2020

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

Full work available at URL: https://arxiv.org/abs/1912.07113

zbMATH Keywords

noncommutative toriConnes trace theoremConnes integration formula

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (5)

Cwikel estimates and negative eigenvalues of Schrödinger operators on noncommutative tori ⋮ Spectral metric and Einstein functionals ⋮ Connes' integration and Weyl's laws ⋮ Noncommutative residue and canonical trace on noncommutative tori. Uniqueness results ⋮ Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori

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