The Podles spheres converge to the sphere
Operator Algebras
2022-04-20 v3 Functional Analysis
Abstract
We prove that the Podles spheres converge in quantum Gromov-Hausdorff distance to the classical 2-sphere as the deformation parameter tends to 1. Moreover, we construct a -deformed analogue of the fuzzy spheres, and prove that they converge to as their linear dimension tends to infinity, thus providing a quantum counterpart to a classical result of Rieffel.
Keywords
Cite
@article{arxiv.2102.12761,
title = {The Podles spheres converge to the sphere},
author = {Konrad Aguilar and Jens Kaad and David Kyed},
journal= {arXiv preprint arXiv:2102.12761},
year = {2022}
}
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34 pages