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

Author:

Gotfredsen ThomasORCID,Zegers Sophie EmmaORCID

Abstract

AbstractWe 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.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

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