Geodesic
On the classification and description of quantum lens spaces as graph algebras
Canadian journal of mathematics, Tome 76 (2024) no. 1, pp. 246-282

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DOI

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.
DOI : 10.4153/S0008414X23000044
Mots-clés : Graph C*-algebras, classification, quantum lens spaces 
Gotfredsen, Thomas; Zegers, Sophie Emma. On the classification and description of quantum lens spaces as graph algebras. Canadian journal of mathematics, Tome 76 (2024) no. 1, pp. 246-282. doi: 10.4153/S0008414X23000044
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