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Quantum metrics from the trace on full matrix algebras

Published 24 Jun 2019 in math.OA and math.FA | (1906.09728v1)

Abstract: We prove that, in the sense of the Gromov-Hausdorff propinquity, certain natural quantum metrics on the algebras of $n\times n$-matrices are separated by a positive distance when n is not prime.

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