论文标题
图形的编织量子对称性$ \ mathrm {c}^*$ - 代数
Braided quantum symmetries of graph $\mathrm{C}^*$-algebras
论文作者
论文摘要
我们证明了一个通用编织的紧凑型量子组的存在，该量子组作用于图$ \ mathrm {c}^*$ - $ \ Mathbb {t} $ - $ \ Mathrm {c}^*$ - 具有扭曲的单型单体结构的代数，具有扭曲的单体结构，具有S. wang of S. wang的精神。为了实现这一目标，我们构建了一个自由统一量子组的编织类似物，并研究其琼脂化。作为一个具体的例子，我们计算了Cuntz代数的这个通用编织的紧凑型量子组。
We prove the existence of a universal braided compact quantum group acting on a graph $\mathrm{C}^*$-algebra in the category of $\mathbb{T}$-$\mathrm{C}^*$-algebras with a twisted monoidal structure, in the spirit of the seminal work of S. Wang. To achieve this, we construct a braided analogue of the free unitary quantum group and study its bosonization. As a concrete example, we compute this universal braided compact quantum group for the Cuntz algebra.
