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Abstract
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We prove that, in the sense of the Gromov–Hausdorff
propinquity, certain natural quantum metrics on the algebras of
-matrices are separated by
a positive distance when
is not prime.
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Keywords
noncommutative metric geometry, Gromov–Hausdorff
propinquity, quantum metric spaces, Lip-norms, C*-algebras,
full matrix algebras
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Mathematical Subject Classification 2010
Primary: 46L89, 46L30, 58B34
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Milestones
Received: 5 December 2017
Accepted: 7 March 2018
Published: 8 October 2018
Communicated by David Royal Larson
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