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Centers of graded fusion categories
Let Ꮿ be a fusion category faithfully graded by a finite group G and let Ᏸ be the trivial component of this grading.The center ᐆ(Ꮿ) of Ꮿ is shown to be canonically equivalent to a G-equivariantization of the relative center ᐆ Ᏸ (Ꮿ).We use this result to obtain a criterion …