The covariant Gromov–Hausdorff propinquity

DOI10.4064/sm180610-28-12zbMath1459.46068arXiv1805.11229OpenAlexW2973432566WikidataQ127214371 ScholiaQ127214371MaRDI QIDQ5220133

Frédéric Latrémolière

Publication date: 10 March 2020

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.11229

zbMATH Keywords

Gromov-Hausdorff convergencelip-normsMonge-Kantorovich distancenoncommutative metric geometryquantum metric spaces\(C^\ast\)-dynamical systemsproper monoidsGromov-Hausdorff distance for proper monoids

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 (12)

Frobenius-Rieffel norms on finite-dimensional C*-algebras ⋮ 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 ⋮ 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 ⋮ INDUCTIVE LIMITS OF C*-ALGEBRAS AND COMPACT QUANTUM METRIC SPACES ⋮ Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves ⋮ The dual modular Gromov-Hausdorff propinquity and completeness ⋮ Bunce-Deddens algebras as quantum Gromov-Hausdorff distance limits of circle algebras ⋮ Actions of categories by Lipschitz morphisms on limits for the Gromov-Hausdorff propinquity

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