Remark 1.8. The theorem is a direct generalization of a result of Hinich [H]. He proves that for a Deligne-Mumford stack admitting an affine orbifold chart, the Drinfeld center of the (abelian) tensor category of quasi-coherent sheaves on is equivalent to the category of quasi-coherent sheaves on the inertia orbifold of (with braided monoidal structure coming from convolution). One can recover this from the above theorem by passing to the hearts of the natural -structures.
Original source: arXiv:0805.0157v5