Differentiable absorption of Hilbert \(C^\ast\)-modules, connections, and lifts of unbounded operators

DOI10.4171/JNCG/11-3-8zbMath1386.46045arXiv1407.1389OpenAlexW2964070125MaRDI QIDQ1676078

Jens Kaad

Publication date: 3 November 2017

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

Full work available at URL: https://arxiv.org/abs/1407.1389

zbMATH Keywords

derivationsHilbert \(C^\ast\)-modulesregular unbounded operatorsdifferentiable absorptionGraßmann connections

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (C^*)-modules (46L08) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Noncommutative geometry (à la Connes) (58B34) Connections (general theory) (53C05) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (9)

Schatten classes for Hilbert modules over commutative \(C^\ast \)-algebras ⋮ Curvature of differentiable Hilbert modules and Kasparov modules ⋮ Nonunital spectral triples and metric completeness in unbounded \(KK\)-theory ⋮ The Gromov-Hausdorff propinquity for metric spectral triples ⋮ Power-norms based on Hilbert \(C^\ast\)-modules ⋮ Factorization of Dirac operators on almost-regular fibrations of \(\mathrm{spin}^c\) manifolds ⋮ On the unbounded picture of \(KK\)-theory ⋮ On the global limiting absorption principle for massless Dirac operators ⋮ The unbounded Kasparov product by a differentiable module

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