Spectral truncations of compact quantum groups converge in quantum Gromov-Hausdorff distance to the original quantum group.
Rieffel, Convergence of Fourier truncations for compact quantum groups and finitely generated groups, J
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Gromov-Hausdorff Convergence of Spectral Truncations for Quantum Groups
Spectral truncations of compact quantum groups converge in quantum Gromov-Hausdorff distance to the original quantum group.