Abstract
We prove that the Podles spheres S2p converge in quantum Gromov-Hausdorff distance to the classical 2-sphere as the deformation parameter p tends to 1. Moreover, we construct a q-deformed analogue of the fuzzy spheres, and prove that they converge to S2q as their linear dimension tends to infinity, thus providing a quantum counterpart to a classical result of Rieffel.
Original language | English |
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Journal | Communications in Mathematical Physics |
Volume | [to appear] |
Number of pages | 33 |
ISSN | 0010-3616 |
Publication status | Accepted/In press - 2022 |
Keywords
- math.OA
- math.FA
- 58B32, 58B34, 46L89, 46L30, 81R15, 81R60