Classifying (Weak) Coideal Subalgebras of Weak Hopf C*-Algebras

Abstract

We develop a general approach to the problem of classification of weak coideal C*-subalgebras of weak Hopf C*-algebras. As an example, we consider weak Hopf C*-algebras and their weak coideal C*-subalgebras associated with Tambara Yamagami categories.

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