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We study the convergence aspects of the metric on spectral truncations of geometry.
Reconstructing manifolds from truncated spectral triples
L. Glaser and A. Stern · 1912
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Positive functions on C ∗ C^{*} -algebras
W. F. Stinespring · 1955
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General concept of quantization
F. A. Berezin · 1975
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Injectivity and operator spaces
M. D. Choi and E. G. Effros · 1977
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Compact metric spaces, Fredholm modules, and hyperfiniteness
A. Connes · 1989
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Triangular truncation and finding the norm of a Hadamard multiplier
J. R. Angelos, C. C. Cowen, and S. K. Narayan · 1992
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The fuzzy sphere
J. Madore · 1992
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Spinors and the Dirac operator on hypersurfaces. I. General theory
A. Trautman · 1992
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Noncommutative Geometry
A. Connes · 1994
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The Dirac operator on the fuzzy sphere
H. Grosse and P. Prešnajder · 1995
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Mathematical Topics between Classical and Quantum Mechanics
N. P. Landsman · 1998
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Metrics on states from actions of compact groups
M. A. Rieffel · 1998
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Metrics on state spaces
M. A. Rieffel · 1999
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A course in metric geometry
D. Burago, Y. Burago, and S. Ivanov · 2001
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Completely bounded maps and operator algebras
V. Paulsen · 2002
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Matricial quantum Gromov-Hausdorff distance
D. Kerr · 2003
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Fourier analysis
E. M. Stein and R. Shakarchi · 2003
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Spectral truncations in noncommutative geometry and operator systems
Metric properties of the fuzzy sphere
F. D’Andrea, F. Lizzi, and J. C. Várilly · 2013
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Spectral geometry with a cut-off: topological and metric aspects
F. D’Andrea, F. Lizzi, and P. Martinetti · 2014
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Matrix geometries and fuzzy spaces as finite spectral triples
J. W. Barrett · 2015
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Convergence of fuzzy tori and quantum tori for the quantum Gromov-Hausdorff propinquity: an explicit approach
F. Latrémolière · 2015
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The dual Gromov-Hausdorff propinquity
F. Latrémolière · 2015
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Monte Carlo simulations of random non-commutative geometries
J. W. Barrett and L. Glaser · 2016
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Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance
M. A. Rieffel · 2004
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On Gromov-Hausdorff convergence for operator metric spaces
D. Kerr and H. Li · 2009
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Quantum metric spaces and the Gromov-Hausdorff propinquity
F. Latrémolière · 2016
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Truncated geometry
T. Berendschot · 2019
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Understanding truncated non-commutative geometries through computer simulations
L. Glaser and A. Stern · 2020
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