Monoidal Rigidity for Free Wreath Products
Abstract
In this note we observe that any compact quantum group monoidally equivalent, in a nice way, to a free wreath product of a compact quantum group G by the quantum automorphism group of a finite dimensional C*-algebra with a δ-form is actually isomorphic to a free wreath product of G by the quantum automorphism group of another finite dimensional C*-algebra with a δ-form.
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