English

On The Classification of Quantum Lens Spaces of Dimension at most 7

Operator Algebras 2022-09-09 v1

Abstract

We investigate quantum lens spaces, C(Lq2n+1(r;m))C(L_q^{2n+1}(r;\underline{m})), introduced by Brzezi\'nski-Szyma\'nski as graph CC^*-algebras. For n3n\leq 3, we give a number-theoretic invariant, when all but one weight are coprime to the order of the acting group rr. This builds upon the work of Eilers, Restorff, Ruiz and S\{o}rensen.

Keywords

Cite

@article{arxiv.2104.06137,
  title  = {On The Classification of Quantum Lens Spaces of Dimension at most 7},
  author = {Thomas Gotfredsen and Sophie Emma Zegers},
  journal= {arXiv preprint arXiv:2104.06137},
  year   = {2022}
}