The Podles spheres converge to the sphere

Konrad Aguilar, Jens Kaad, David Kyed

Research output: Contribution to journalJournal articleResearchpeer-review

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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 languageEnglish
JournalCommunications in Mathematical Physics
Volume[to appear]
Number of pages33
ISSN0010-3616
Publication statusAccepted/In press - 2022

Keywords

  • math.OA
  • math.FA
  • 58B32, 58B34, 46L89, 46L30, 81R15, 81R60

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