Curvature of differentiable Hilbert modules and Kasparov modules
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Publication:2136540
DOI10.1016/j.aim.2021.108128zbMath1495.19005arXiv1911.05008OpenAlexW2983871764MaRDI QIDQ2136540
Bram Mesland, Adam Rennie, Walter D. van Suijlekom
Publication date: 11 May 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.05008
Noncommutative differential geometry (46L87) Kasparov theory ((KK)-theory) (19K35) Noncommutative geometry (à la Connes) (58B34)
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Cites Work
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- Gauge theory for spectral triples and the unbounded Kasparov product
- Modular curvature and Morita equivalence
- Nonunital spectral triples and metric completeness in unbounded \(KK\)-theory
- Indefinite Kasparov modules and pseudo-Riemannian manifolds
- Riemannian manifolds in noncommutative geometry
- A local global principle for regular operators in Hilbert \(C^*\)-modules
- The \(KK\)-product of unbounded modules
- Gravity coupled with matter and the foundation of non-commutative geometry
- A new approach to Hilbert \(C^*\)-modules
- Differentiable absorption of Hilbert \(C^\ast\)-modules, connections, and lifts of unbounded operators
- Riemannian submersions and factorization of Dirac operators
- Locally bounded perturbations and (odd) unbounded $KK$-theory
- Levi-Civita connections for a class of spectral triples
- Riemannian curvature of the noncommutative 3-sphere
- Factorization of Dirac operators on almost-regular fibrations of \(\mathrm{spin}^c\) manifolds
- Gauge theory on noncommutative Riemannian principal bundles
- Unbounded bivariant \(K\)-theory and correspondences in noncommutative geometry
- Spectral triples and finite summability on Cuntz-Krieger algebras
- Sums of regular self-adjoint operators in Hilbert-\(C^{\ast}\)-modules
- The Ricci curvature in noncommutative geometry
- Spectral flow and the unbounded Kasparov product
- Levi-Civita's theorem for noncommutative tori
- The fundamental equations of a submersion
- The Gauss-Bonnet Theorem for the noncommutative two torus
- Modular curvature for noncommutative two-tori
- Modular Gaussian curvature
- Operator ∗‐correspondences in analysis and geometry
- Shift–tail equivalence and an unbounded representative of the Cuntz–Pimsner extension
- Algebra Extensions and Nonsingularity
- The term a_4 in the heat kernel expansion of noncommutative tori
- On curvature in noncommutative geometry
- Metrics and pairs of left and right connections on bimodules
