JournalsdmVol. 27pp. 765–787

Polynomial approximation of quantum Lipschitz functions

  • Konrad Aguilar

    Department of Mathematics, Pomona College, 610 N. College Ave., Claremont, CA 91711, USA

  • Jens Kaad

    Department of Mathematics and Computer Science, The University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark

  • David Kyed

    Department of Mathematics and Computer Science, The University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark
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Abstract

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

Cite this article

Konrad Aguilar, Jens Kaad, David Kyed, Polynomial approximation of quantum Lipschitz functions. Doc. Math. 27 (2022), pp. 765–787

DOI 10.4171/DM/884