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

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 G and coideal subalgebras invariant with respect to the adjoint action of 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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https://hal.archives-ouvertes.fr/hal-02886793
Contributor : Jean-Michel Vallin Connect in order to contact the contributor
Submitted on : Thursday, April 1, 2021 - 4:34:14 PM
Last modification on : Thursday, April 7, 2022 - 1:58:25 PM

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  • HAL Id : hal-02886793, version 2

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Leonid Vainerman, Jean-Michel Vallin. Yetter-Drinfel'd algebras and coideals of Weak Hopf C * -Algebras. Theory and Applications of Categories, Mount Allison University, 2021. ⟨hal-02886793v2⟩

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