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

Abstract

We investigate quantum lens spaces, $C(L_q^{2n+1}(r;\underline{m}))$, introduced by Brzeziński-Szymański as graph $C^{\ast }$-algebras. For $n\le 3$, 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 S\{o}rensen.