English

Quantum metrics from the trace on full matrix algebras

Operator Algebras 2019-06-25 v1 Functional Analysis

Abstract

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

Keywords

Cite

@article{arxiv.1906.09728,
  title  = {Quantum metrics from the trace on full matrix algebras},
  author = {Konrad Aguilar and Samantha Brooker},
  journal= {arXiv preprint arXiv:1906.09728},
  year   = {2019}
}

Comments

13 pages

R2 v1 2026-06-23T10:01:26.387Z