Schatten classes for Hilbert modules over commutative \(C^\ast \)-algebras

DOI10.1016/J.JFA.2021.109042zbMath1472.46061arXiv2010.07372OpenAlexW3155909781MaRDI QIDQ831108

Abel B. Stern, Walter D. van Suijlekom

Publication date: 10 May 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07372

zbMATH Keywords

traceFredholm determinantSchatten classesHilbert \(C^*\)-modules

Mathematics Subject Classification ID

(C^*)-modules (46L08) (K)-theory and operator algebras (including cyclic theory) (46L80)

Related Items (1)

Power-norms based on Hilbert \(C^\ast\)-modules

Cites Work

• Gauge theory for spectral triples and the unbounded Kasparov product
• Nonunital spectral triples and metric completeness in unbounded \(KK\)-theory
• Gravity coupled with matter and the foundation of non-commutative geometry
• The structure of algebras of operator fields
• The longitudinal index theorem for foliations
• Endomorphisms of finitely generated projective modules over a commutative ring
• Differentiable absorption of Hilbert \(C^\ast\)-modules, connections, and lifts of unbounded operators
• Riemannian submersions and factorization of Dirac operators
• Perturbation theory for linear operators.
• The Grothendieck ring of the category of endomorphisms
• Unbounded bivariant \(K\)-theory and correspondences in noncommutative geometry
• Spectral flow and the unbounded Kasparov product
• Index theory for locally compact noncommutative geometries
• Diagonalizing Matrices
• Countably generated Hilbert modules, the Kasparov Stabilisation Theorem, and frames in Hilbert modules
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
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