Spectral triples and differential calculi related to the Kronecker foliation

DOI10.1016/S0393-0440(02)00136-5zbMath1018.58017arXivmath-ph/0201066WikidataQ115338860 ScholiaQ115338860MaRDI QIDQ1871568

Rainer Matthes, O. Richter, Gerd Rudolph

Publication date: 4 May 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0201066

zbMATH Keywords

Dirac operatorsdifferential calculispectral triplesChern charactersKronecker foliations

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Geometry of quantum groups (58B32) Derivations, actions of Lie algebras (16W25) Noncommutative global analysis, noncommutative residues (58J42)

Cites Work

• Non-commutative differential geometry
• Commutator representations of differential calculi on the quantum group \(SU_q(2)\)
• C*-algebras associated with irrational rotations
• Supersymmetric quantum theory and differential geometry
• Determinants and their applications in mathematical physics
• Supersymmetric quantum theory and non-commutative geometry
• Classification of finite spectral triples
• The Dirac operator and gravitation
• The spectral action principle
• On the structure of a differential algebra used by Connes and Lott
• On a certain construction of graded Lie algebras with derivation
• Differential algebras in non-commutative geometry
• Gravity, non-commutative geometry and the Wodzicki residue
• The local index formula in noncommutative geometry
• NONCOMMUTATIVE GEOMETRY AND GRADED ALGEBRAS IN ELECTROWEAK INTERACTIONS
• Discrete spectral triples and their symmetries
• Particle models and noncommutative geometry
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