Connes integration formula: a constructive approach

DOI10.1134/s0016266323010045zbMath1530.46056arXiv2103.08817MaRDI QIDQ6096013

Dmitriy Zanin, Pheodor A. Sukochev

Publication date: 11 September 2023

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.08817

zbMATH Keywords

Connes integration formula

Mathematics Subject Classification ID

Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (1)

Connes' integration and Weyl's laws

Cites Work

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• Singular traces. Theory and applications
• A last theorem of Kalton and finiteness of Connes' integral
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Banach limits and traces on \(\mathcal{L}_{1, \infty}\)
• Partial differential equations. I: Basic theory
• Measures from Dixmier traces and zeta functions
• The action functional in non-commutative geometry
• Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces
• Hamiltonian gravity and noncommutative geometry
• Commutator structure of operator ideals
• The local index formula in noncommutative geometry
• Traces of compact operators and the noncommutative residue
• Singular traces. Volume 1. Theory
• Eigenvalues of singular measures and Connes' noncommutative integration
• Weyl's laws and Connes' integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials
• A non-commutative extension of abstract integration
• Advances in Dixmier traces and applications
• Pseudo-Differential Operators and Symmetries
• Spectral Problems Related to the Critical Exponent in the Sobolev Embedding Theorem
• Theory of operator algebras I.
• Operator θ$\theta$‐Hölder functions with respect to ∥·∥p$\Vert \cdot \Vert _p$, 0<p⩽∞$0&lt; p\leqslant \infty$
• Solomyak-type eigenvalue estimates for the Birman-Schwinger operator

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