Order-unit quantum Gromov-Hausdorff distance
| dc.creator | Li, Hanfeng | |
| dc.date | 2003-11-28 | |
| dc.date | 2005-04-12 | |
| dc.date.accessioned | 2026-07-07T06:30:08Z | |
| dc.date.available | 2026-07-07T06:30:08Z | |
| dc.description | We introduce a new distance dist_oq between compact quantum metric spaces. We show that dist_oq is Lipschitz equivalent to Rieffel's distance dist_q, and give criteria for when a parameterized family of compact quantum metric spaces is continuous with respect to dist_oq. As applications, we show that the continuity of a parameterized family of quantum metric spaces induced by ergodic actions of a fixed compact group is determined by the multiplicities of the actions, generalizing Rieffel's work on noncommutative tori and integral coadjoint orbits of semisimple compact connected Lie groups; we also show that the theta-deformations of Connes and Landi are continuous in the parameter theta. | |
| dc.description | 42 pages. Proposition 4.7 is added. To apear in J. Funct. Anal | |
| dc.identifier | https://arxiv.org/abs/math/0312001 | |
| dc.identifier | http://arxiv.org/abs/math/0312001 | |
| dc.identifier | J. Funct. Anal. 231 (2006), no. 2, 312--360. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98270 | |
| dc.subject | Operator Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 46L87; 53C23;58B34 | |
| dc.title | Order-unit quantum Gromov-Hausdorff distance | |
| dc.type | text |