量子isometry群的对偶生成离散群- $\textrm{II}$
Quantum isometry group of dual of finitely generated discrete groups- $\textrm{II}$
摘要：
作为Goswami和Mandal（2014）计划的贡献，我们对$\mathbb{Q}(Γ,S)$进行了显式计算，这是$C_{r}^{*}(Γ)$上正则谱三元组的量子等距群，来自对应于有限生成集S的字长函数，对于Goswami和Mandal（2014）未涵盖的$Γ$的几个有趣例子。其中包括3个生成元的辫子群、$\mathbb{Z}_4^{*n}$等。此外，我们给出了量子群$H_s^{+}(n,0)$和$K_n^{+}$（在Banica和Skalski（2012），Banica和Skalski（2013）中研究）的自由圈积的另一种描述。在最后一节中，我们给出了几个新的群的例子，其中$\mathbb{Q}(Γ)$是$C^*(Γ)$的加倍。
英文摘要：
As a contribution of the programme of Goswami and Mandal (2014), we carry out explicit computations of $\mathbb{Q}(Γ,S)$, the quantum isometry group of the canonical spectral triple on $C_{r}^{*}(Γ)$ coming from the word length function corresponding to a finite generating set S, for several interesting examples of $Γ$ not covered by the previous work Goswami and Mandal (2014). These include the braid group of 3 generators, $\mathbb{Z}_4^{*n}$ etc. Moreover, we give an alternative description of the quantum groups $H_s^{+}(n,0)$ and $K_n^{+}$ (studied in Banica and Skalski (2012), Banica and Skalski (2013)) in terms of free wreath product. In the last section we give several new examples of groups for which $\mathbb{Q}(Γ)$ turn out to be doubling of $C^*(Γ)$.
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。
