Geodesic
Yetter-Drinfel'd algebras and coideals of Weak Hopf C*-Algebras
Theory and applications of categories, Tome 37 (2021), pp. 57-94 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We characterize braided commutative Yetter-Drinfel'd 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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Classification : Primary 18D10, Secondary 16T05, Tertiary 46L05
Keywords: Coactions and corepresentations of quantum groupoids, C*-categories, reconstruction theorem 
@article{TAC_2021_37_a2,
     author = {Leonid Vainerman and Jean-Michel Vallin},
     title = {Yetter-Drinfel'd algebras and coideals of {Weak} {Hopf} {C*-Algebras}},
     journal = {Theory and applications of categories},
     pages = {57--94},
     year = {2021},
     volume = {37},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2021_37_a2/}
}
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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, Tome 37 (2021), pp. 57-94. http://geodesic.mathdoc.fr/item/TAC_2021_37_a2/