Centers of categorified endomorphism rings

Abstract

We prove that for a large class of well-behaved cocomplete categories $\mathcal{C}$ the weak and strong Drinfeld centers of the monoidal category $\mathcal{E}$ of cocontinuous endofunctors of $\mathcal{C}$ coincide. This generalizes similar results in the literature, where $\mathcal{C}$ is the category of modules over a ring $A$ and hence $\mathcal{E}$ is the category of $A$-bimodules.

10 pages + references; final version

References in corpus (2)

• The fundamental pro-groupoid of an affine 2-scheme
• Reflexivity and dualizability in categorified linear algebra