Vol. 12, No. 2, 2019

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 3, 363–541
Issue 2, 183–362
Issue 1, 1–182

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 8 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN (electronic): 1944-4184
ISSN (print): 1944-4176
 
Author index
To appear
 
Other MSP journals
This article is available for purchase or by subscription. See below.
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
Abstract

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

PDF Access Denied

We have not been able to recognize your IP address 3.144.115.118 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 30.00:

Keywords
noncommutative metric geometry, Gromov–Hausdorff propinquity, quantum metric spaces, Lip-norms, C*-algebras, full matrix algebras
Mathematical Subject Classification 2010
Primary: 46L89, 46L30, 58B34
Milestones
Received: 5 December 2017
Accepted: 7 March 2018
Published: 8 October 2018

Communicated by David Royal Larson
Authors
Konrad Aguilar
School of Mathematical and Statistical Sciences
Arizona State University
Tempe, AZ
United States
Samantha Brooker
Department of Mathematics
University of Denver
Denver, CO
United States