Bibliographic Details
| Title: |
Spectral metrics on quantum projective spaces. |
| Authors: |
Mikkelsen, Max Holst1 (AUTHOR) maxmi@imada.sdu.dk, Kaad, Jens1 (AUTHOR) kaad@imada.sdu.dk |
| Superior Title: |
Journal of Functional Analysis. Jul2024, Vol. 287 Issue 2, pN.PAG-N.PAG. 1p. |
| Subject Terms: |
*PROJECTIVE geometry, *NONCOMMUTATIVE differential geometry, *GEOMETRIC quantization, *METRIC spaces, *QUANTUM states |
| Abstract: |
We show that the noncommutative differential geometry of quantum projective spaces is compatible with Rieffel's theory of compact quantum metric spaces. This amounts to a detailed investigation of the Connes metric coming from the unital spectral triple introduced by D'Andrea and Dąbrowski. In particular, we establish that the Connes metric metrizes the weak-⁎ topology on the state space of quantum projective space. This generalizes previous work by the second author and Aguilar regarding spectral metrics on the standard Podleś spheres. [ABSTRACT FROM AUTHOR] |
|
Copyright of Journal of Functional Analysis is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Academic Search Premier |
