Order-unit quantum Gromov--Hausdorff distance

DOI10.1016/j.jfa.2005.03.016zbMath1101.46046arXivmath/0312001OpenAlexW2140280759MaRDI QIDQ2368777

Hanfeng Li

Publication date: 28 April 2006

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

Full work available at URL: https://arxiv.org/abs/math/0312001

zbMATH Keywords

Gromov-Hausdorff distancecompact quantum metric spacesergodic actions\(\theta\)-deformations

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Noncommutative geometry (à la Connes) (58B34)

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Frobenius-Rieffel norms on finite-dimensional C*-algebras ⋮ Uniqueness, universality, and homogeneity of the noncommutative Gurarij space ⋮ Metric aspects of noncommutative homogeneous spaces ⋮ The quantum Gromov-Hausdorff propinquity ⋮ Polynomial approximation of quantum Lipschitz functions ⋮ The Podleś spheres converge to the sphere ⋮ A note on the perturbations of compact quantum metric spaces ⋮ The category of compact quantum metric spaces ⋮ Harmonic analysis approach to Gromov-Hausdorff convergence for noncommutative tori ⋮ A comparison of two quantum distances ⋮ Convergence of Fourier truncations for compact quantum groups and finitely generated groups ⋮ Almost periodic type group actions on compact quantum metric spaces ⋮ Convergence of inductive sequences of spectral triples for the spectral propinquity ⋮ Lipschitzness of \(^*\)-homomorphisms between \(C^*\)-metric algebras ⋮ Quantum Metric Spaces and the Gromov-Hausdorff Propinquity ⋮ The dual Gromov-Hausdorff propinquity ⋮ Extensions and degenerations of spectral triples ⋮ Compact quantum metric spaces and ergodic actions of compact quantum groups ⋮ Collapse of unit horizontal bundles equipped with a metric of Cheeger-Gromoll type ⋮ Dynamics of compact quantum metric spaces ⋮ Lipschitz isometries of compact quantum metric spaces ⋮ Lipschitz isomorphisms of compact quantum metric spaces

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