Classification of spin structures on the noncommutative \(n\)-torus

DOI10.4171/JNCG/135zbMath1281.58004arXiv1003.5156MaRDI QIDQ380277

Jan Jitse Venselaar

Publication date: 13 November 2013

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

Full work available at URL: https://arxiv.org/abs/1003.5156

zbMATH Keywords

spectral geometryreal spectral triplesnon-equivalent spin structuresnoncommutative \(n\)-torus

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Noncommutative geometry (à la Connes) (58B34)

Related Items (6)

Type III representations and modular spectral triples for the noncommutative torus ⋮ Twisted reality condition for Dirac operators ⋮ Real spectral triples over noncommutative Bieberbach manifolds ⋮ A reconstruction theorem for Connes-Landi deformations of commutative spectral triples ⋮ Morita ``equivalences of equivariant torus spectral triples ⋮ Spin geometry of the rational noncommutative torus

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