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arXiv · 1906.09728

Quantum metrics from the trace on full matrix algebras

Konrad Aguilar·Samantha Brooker
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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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Konrad Aguilar, Samantha Brooker. 2019-06-24. Quantum metrics from the trace on full matrix algebras. https://doi.org/10.2140/involve.2019.12.329

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