Given a small \(\infty\)-category \(\mathcal C\), the center in \(\mathrm{Cat}_{\infty}\) exists and is given by the monoidal \(\infty\)-category \(\mathrm{Fun}(\mathcal C, \mathcal C) \in \mathrm{Alg}_{\mathbb E_1}(\mathrm{Cat}_{\infty})\).
Original source: arXiv:2401.02956v2
Original source · 2401.02956v2