English

Polynomial approximation of quantum Lipschitz functions

Operator Algebras 2022-03-16 v2

Abstract

We prove an approximation result for Lipschitz functions on the quantum sphere Sq2S_q^2, from which we deduce that the two natural quantum metric structures on Sq2S_q^2 have quantum Gromov-Hausdorff distance zero.

Cite

@article{arxiv.2104.04317,
  title  = {Polynomial approximation of quantum Lipschitz functions},
  author = {Konrad Aguilar and Jens Kaad and David Kyed},
  journal= {arXiv preprint arXiv:2104.04317},
  year   = {2022}
}

Comments

20 pages. v2: minor updates, to appear in Documenta Mathematica

R2 v1 2026-06-24T00:59:55.494Z