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Journal Articles Theory and Applications of Categories Year : 2021

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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Dates and versions

hal-02886793 , version 1 (01-07-2020)
hal-02886793 , version 2 (01-04-2021)

Identifiers

  • HAL Id : hal-02886793 , version 2

Cite

Leonid Vainerman, Jean-Michel Vallin. Yetter-Drinfel'd algebras and coideals of Weak Hopf C * -Algebras. Theory and Applications of Categories, 2021, 37 (3), pp.57-94. ⟨hal-02886793v2⟩
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