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Quantum metrics
from traces on full matrix algebras
Konrad Aguilar and Samantha Brooker
Vol. 12 (2019), No. 2, 329–342
DOI: 10.2140/involve.2019.12.329
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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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Authors |
| Konrad Aguilar | |
| School of Mathematical and
Statistical Sciences Arizona State University Tempe, AZ United States |
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| Samantha Brooker | |
| Department of Mathematics University of Denver Denver, CO United States |
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