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

Autor:	Gotfredsen, Thomas, Zegers, Sophie Emma
Rok vydání:	2022
Předmět:	Mathematics - Operator Algebras 46L35 58B34 05C30
Druh dokumentu:	Working Paper
Popis:	We investigate quantum lens spaces, $C(L_q^{2n+1}(r;\underline{m}))$, introduced by Brzezi\'nski-Szyma\'nski 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 Brzezi\'nski-Szyma\'nski. 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 S{\o}rensen. Comment: arXiv admin note: substantial text overlap with arXiv:2104.06137
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.00400 Zobrazit plný text záznamu View this record from Arxiv