On the classification and description of quantum lens spaces as graph algebras

Thomas Gotfredsen, Sophie Emma Mikkelsen

Research output: Working paperResearch

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Abstract

We investigate quantum lens spaces, C(L2n+1q(r;m––)), introduced by Brzeziński-Szymański as graph C∗-algebras. We give a new description of C(L2n+1q(r;m––)) as graph C∗-algebras amending an error in the original paper by Brzeziński-Szymański. Furthermore, for n≤3, we give a number-theoretic invariant, when all but one weight are coprime to the order of the acting group r. This builds upon the work of Eilers, Restorff, Ruiz and Sørensen
Original languageEnglish
PublisherarXiv.org
DOIs
Publication statusPublished - 2. Feb 2022

Keywords

  • math.OA
  • 46L35, 58B34

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