Spectral action on noncommutative torus

DOI10.4171/JNCG/16zbMath1156.46046arXiv0704.0564OpenAlexW2963263480MaRDI QIDQ2475511

Driss Essouabri, Andrzej Sitarz, Cyril Levy, Bruno Iochum

Publication date: 11 March 2008

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.0564

zbMATH Keywords

noncommutative geometry zeta function spectral action noncommutative torus spectral triple residue holomorphic continuation noncommutative integration Diophantine number covariant Dirac operator

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative measure and integration (46L51) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Noncommutative function spaces (46L52) Noncommutative geometry (à la Connes) (58B34) Topological algebras of operators (46H35)

Related Items (11)

Spectral triples and manifolds with boundary ⋮ Morita ``equivalences of equivariant torus spectral triples ⋮ Spectral action for scalar perturbations of Dirac operators ⋮ Noncommutative circle bundles and new Dirac operators ⋮ Heat trace and spectral action on the standard Podleś sphere ⋮ A Chern-Simons action for noncommutative spaces in general with the example \(\mathrm{SU}_q(2)\) ⋮ Curved noncommutative torus and Gauss–Bonnet ⋮ Quantum field theory on noncommutative spaces ⋮ Tadpoles and commutative spectral triples ⋮ Spectral action on \(\mathrm{SU}_q(2)\) ⋮ Asymptotic and exact expansions of heat traces

Cites Work

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