Noncommutative residue and canonical trace on noncommutative tori. Uniqueness results

DOI10.3842/SIGMA.2020.061zbMath1471.58033arXiv1911.12164OpenAlexW2990513546MaRDI QIDQ784858

Raphaël Ponge

Publication date: 3 August 2020

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12164

zbMATH Keywords

pseudodifferential operatorscanonical tracenoncommutative torinoncommutative residue

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Noncommutative geometry (à la Connes) (58B34) Noncommutative global analysis, noncommutative residues (58J42)

Related Items

Weyl's laws and Connes' integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials, A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry, Spectral metric and Einstein functionals, Connes’s trace theorem for curved noncommutative tori: Application to scalar curvature, Local index formulae on noncommutative orbifolds and equivariant zeta functions for the affine metaplectic group, Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori

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