Abstract
We show that Rieffel’s quantum Gromov–Hausdorff distance between two compact quantum metric spaces is not equivalent to the ordinary Gromov–Hausdorff distance applied to the associated state spaces.
| Originalsprog | Engelsk |
|---|---|
| Artikelnummer | 8 |
| Tidsskrift | Mathematical Physics, Analysis and Geometry |
| Vol/bind | 26 |
| Udgave nummer | 1 |
| Antal sider | 9 |
| ISSN | 1385-0172 |
| DOI | |
| Status | Udgivet - mar. 2023 |
Bibliografisk note
Funding Information:The authors gratefully acknowledge the financial support from the Independent Research Fund Denmark through Grant Nos. 9040-00107B, 7014-00145B and 1026-00371B.
Finansiering
The authors gratefully acknowledge the financial support from the Independent Research Fund Denmark through Grant Nos. 9040-00107B, 7014-00145B and 1026-00371B. This note grew out of discussions with Walter van Suijlekom during the 2022 NseaG-workshop at the Lorentz center in Leiden. We would like to thank the Lorentz center for their hospitality and the nice research environment they provide. Furthermore, the authors wish to thank Alexander Kahle, Frédéric Latrémolière and Marc Rieffel for their input in connection with the problem addressed in the present note.
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