The dual modular Gromov-Hausdorff propinquity and completeness

DOI10.4171/JNCG/414zbMath1481.46078arXiv1811.04534MaRDI QIDQ2043512

Frédéric Latrémolière

Publication date: 2 August 2021

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

Full work available at URL: https://arxiv.org/abs/1811.04534

zbMATH Keywords

Hilbert modulesGromov-Hausdorff convergencelip-normsMonge-Kantorovich distancenoncommutative metric geometryquantum metric spacesproper monoidsGromov-Hausdorff distance for metrized quantum vector bundles

Mathematics Subject Classification ID

Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) States of selfadjoint operator algebras (46L30)

Related Items (8)

The Gromov-Hausdorff propinquity for metric spectral triples ⋮ The strongly Leibniz property and the Gromov-Hausdorff propinquity ⋮ Isometry groups of inductive limits of metric spectral triples and Gromov–Hausdorff convergence ⋮ Dirac operators for matrix algebras converging to coadjoint orbits ⋮ Convergence of inductive sequences of spectral triples for the spectral propinquity ⋮ The Fell topology and the modular Gromov-Hausdorff propinquity ⋮ Convergence of spectral triples on fuzzy tori to spectral triples on quantum tori ⋮ Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves

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