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Showing 1 to 2 of 2 for “"Gromov–Hausdorff propinquity"”.
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Approximating rotation algebras and inclusions of C*-algebras
… of rotation algebras in the quantum Gromov–Hausdorff distance. We introduce the completely bounded quantum Gromov–Hausdorff distance and show that for even dimensions, the higher dimensional rotation algebras can be approximated by matrix algebras in this sense. Finally, we show that …
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Quantum Metrics on Approximately Finite-Dimensional Algebras
… finite dimensional C*-algebras for the quantum Gromov-Hausdorff propinquity. We then study the geometry, for the quantum propinquity, of three natural classes of AF algebras equipped with our quantum metrics: the UHF algebras, the Effros-Shen AF algebras associated with continued fraction …