量子透镜空间的分类及其图代数描述
On the classification and description of quantum lens spaces as graph algebras
摘要：
本文研究了量子透镜空间，$C(L_q^{2n+1}(r;\underline{m}))$，它是由Brzezienski-Szymaiski作为图$C^*$ -代数引入的.我们给出了图$C^*$ -代数的新的描述$C(L_q^{2n+1}(r;\underline{m}))$，修正了Brzezienski-Szymaenski在原论文中的一个错误.进一步，当除一个权外所有权与作用群$r$的阶互素时，我们给出了$n\leq 3$的一个数论不变量.这建立在Eilers，Restorff，Ruiz和Sørensen的工作基础上。
英文摘要：
We investigate quantum lens spaces, $C(L_q^{2n+1}(r;\underline{m}))$, introduced by Brzeziński-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-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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
