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arXiv · 2006.16330

Yetter-Drinfel'd algebras and coideals of Weak Hopf $C^*$-Algebras

Leonid Vainerman·Jean-Michel Vallin
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Abstract

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.

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BibTeXRIS

Leonid Vainerman, Jean-Michel Vallin. 2020-06-29. Yetter-Drinfel'd algebras and coideals of Weak Hopf $C^*$-Algebras. https://arxiv.org/abs/2006.16330

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