Immersions and the unbounded Kasparov product: embedding spheres into Euclidean space

DOI10.4171/JNCG/451zbMath1502.19004arXiv1911.06044OpenAlexW2985572810WikidataQ114021472 ScholiaQ114021472MaRDI QIDQ2080298

Luuk S. Verhoeven, Walter D. van Suijlekom

Publication date: 7 October 2022

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

Full work available at URL: https://arxiv.org/abs/1911.06044

zbMATH Keywords

Kasparov productimmersions of manifolds\(K K\)-theoryunbounded \(K K\)-theory

Mathematics Subject Classification ID

Kasparov theory ((KK)-theory) (19K35) Noncommutative geometry (à la Connes) (58B34)

Cites Work

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• Nonunital spectral triples and metric completeness in unbounded \(KK\)-theory
• The \(KK\)-product of unbounded modules
• The longitudinal index theorem for foliations
• Riemannian submersions and factorization of Dirac operators
• Locally bounded perturbations and (odd) unbounded $KK$-theory
• Unbounded bivariant \(K\)-theory and correspondences in noncommutative geometry
• Spectral flow and the unbounded Kasparov product
• Metrics with harmonic spinors
• THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS

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