Lax Functors, Cospans and the Center Construction

Lax Functors, Cospans and the Center Construction

Ryan Grady and Garrett Oren – GJM, Volume 6, Issue 2 (2021), 1-8.

The center construction is not (classically) functorial. In this note, we specialize a universal construction of Jacob Lurie to the category of rings and upgrade the classical center to a lax functor. In particular, we find lax functors to the Morita bicategory and the bicategory of cospans.

Categories: 2021, Issue2

Milestones:

Received: September 11, 2021
Accepted: October 12, 2021
Published online: December 30, 2021

Authors:

Ryan Grady
Department of Mathematical Sciences,
Montana State University,
Bozeman, MT 59717.

Garrett Oren
Mathematics & Statistics,
Boston University,
Boston, MA 02215.

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