论文标题
YETTER-DRINFEL'D代数和弱的Hopf $ C^*$ - 代数
Yetter-Drinfel'd algebras and coideals of Weak Hopf $C^*$-Algebras
论文作者
论文摘要
我们表征了编织的近距离drinfeld $ c^*$ - 弱的hopf $ c^*$ - 代数 - 代数 - 代数。然后，我们研究给定弱的Hopf $ C^*$ - 代数$ \ Mathcal g $的商类型坐骨亚代毛，并且对于$ \ Mathcal G $的伴随动作，最后，例如，我们明确描述了与tambara-yamagami类别相关的弱hopf $ c^*$ - 代数的商类型坐骨子代数。
We characterize braided commutative Yetter-Drinfeld $C^*$-algebras over weak Hopf $C^*$-algebras in categorical terms. Using this, we then study quotient type coideal subalgebras of a given weak Hopf $C^*$-algebra $\mathcal G$ and coideal subalgebras invariant with respect to the adjoint action of $\mathcal G$. Finally, as an example, we explicitly describe quotient type coideal subalgebras of the weak Hopf $C^*$-algebras associated with Tambara-Yamagami categories.
