Real dimensional spaces in noncommutative geometry

DOI10.1016/j.jfa.2015.03.008zbMath1321.58005arXiv1401.4423OpenAlexW1988041240MaRDI QIDQ2345403

Bas P. A. Jordans

Publication date: 22 May 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4423

zbMATH Keywords

dimensional regularizationnoncommutative geometrysemifinite spectral triple

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Noncommutative geometry (à la Connes) (58B34) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

Spectral triples on irreversible C∗-dynamical systems

Uses Software

• DLMF

Cites Work

• Gravity coupled with matter and the foundation of non-commutative geometry
• On the product of real spectral triples
• Theory of operator algebras. II
• The local index formula in noncommutative geometry
• On the spectral characterization of manifolds
• The local index formula in semifinite von Neumann algebras. I: Spectral flow
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Type II non-commutative geometry. I: Dixmier trace in von Neumann algebras
• PRODUCT OF REAL SPECTRAL TRIPLES
• Pseudo-differential Operators and Regularity of Spectral Triples
• Theory of operator algebras I.
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