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Showing 1 to 2 of 2 for “"Quantum metric spaces"”.
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Quantum Metrics on Approximately Finite-Dimensional Algebras
… (AF) algebras into the realm of noncommutative metric geometry. We construct quantum metric structures on unital AF algebras equipped with a faithful tracial state, and prove that for such metrics, AF algebras are limits of their defining inductive sequences of finite dimensional C*-algebras for …
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Approximating rotation algebras and inclusions of C*-algebras
… is the approximation 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 …