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The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten theory [PDF]

Advances in Mathematics, 2020
In this work, for a finite group $G$ and a 4-cocycle $ \in Z^4(G, \mathbf{k}^\times)$, we compute explicitly the center of the monoidal 2-category $\operatorname{2Vec}_G^ $ of $ $-twisted $G$-graded 1-categories of finite dimensional $\mathbf{k}$-vector spaces.
Kong, Liang, Tian, Yin, Zhou, Shan
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Drinfeld Center and Representation Theory for Monoidal Categories [PDF]

Communications in Mathematical Physics, 2016
Motivated by the relation between the Drinfeld double and central property (T) for quantum groups, given a rigid C*-tensor category C and a unitary half-braiding on an ind-object, we construct a *-representation of the fusion algebra of C. This allows us to present an alternative approach to recent results of Popa and Vaes, who defined C*-algebras of ...
Neshveyev, Sergey, Yamashita, Makoto
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An application of the DR-duality theory for compact groups to endomorphism categories of C*-algebras with nontrivial center