Gromov-Hausdorff convergence of state spaces for spectral truncations

DOI10.1016/j.geomphys.2020.104075zbMath1464.53051arXiv2005.08544OpenAlexW3024697632MaRDI QIDQ2662735

Walter D. van Suijlekom

Publication date: 14 April 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08544

zbMATH Keywords

noncommutative geometryGromov-Hausdorff convergencequantum metric spaces

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (9)

Toeplitz separability, entanglement, and complete positivity using operator system duality ⋮ Polynomial approximation of quantum Lipschitz functions ⋮ The Podleś spheres converge to the sphere ⋮ Tolerance relations and quantization ⋮ A comparison of two quantum distances ⋮ Convergence of Fourier truncations for compact quantum groups and finitely generated groups ⋮ Gromov-Hausdorff convergence of spectral truncations for tori ⋮ On multimatrix models motivated by random noncommutative geometry. I: The functional renormalization group as a flow in the free algebra ⋮ Truncated geometry on the circle

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