1 results
On the classification and description of quantum lens spaces as graph algebras
- Part of
-
- Journal:
- Canadian Journal of Mathematics / Volume 76 / Issue 1 / February 2024
- Published online by Cambridge University Press:
- 25 January 2023, pp. 246-282
- Print publication:
- February 2024
-
- Article
-
- You have access
- Open access
- HTML
- Export citation
-
We investigate quantum lens spaces,
$C(L_q^{2n+1}(r;\underline {m}))$, introduced by Brzeziński and Szymański as graph 
$C^*$-algebras. We give a new description of 
$C(L_q^{2n+1}(r;\underline {m}))$ as graph 
$C^*$-algebras amending an error in the original paper by Brzeziński and Szymański. Furthermore, for 
$n\leq 3$, 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.
