A reconstruction theorem for almost-commutative spectral triples

DOI10.1007/s11005-011-0534-5zbMath1253.58004arXiv1101.5908OpenAlexW3105041032MaRDI QIDQ452229

Branimir Ćaćić

Publication date: 20 September 2012

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5908

zbMATH Keywords

noncommutative geometryspectral tripleDirac-type operatoralmost-commutative

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Noncommutative geometry methods in quantum field theory (81T75) Spin and Spin({}^c) geometry (53C27) Noncommutative geometry (à la Connes) (58B34)

Related Items (12)

Gauge theory for spectral triples and the unbounded Kasparov product ⋮ Book Review: Noncommutative geometry and particle physics ⋮ On globally non-trivial almost-commutative manifolds ⋮ Real structures on almost-commutative spectral triples ⋮ Factorization of Dirac operators on toric noncommutative manifolds ⋮ A reconstruction theorem for Connes-Landi deformations of commutative spectral triples ⋮ Riemannian manifolds in noncommutative geometry ⋮ Localizing gauge theories from noncommutative geometry ⋮ Gauge theory on noncommutative Riemannian principal bundles ⋮ Twisted spectral triples and quantum statistical mechanical systems ⋮ Spin geometry of the rational noncommutative torus ⋮ Coupling of gravity to matter, spectral action and cosmic topology

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