From Hopf Algebras in Model Categories to Hopf Algebras in $\infty$-categories
Inbar Klang, Josefien Kuijper, Cary Malkiewich, David Mehrle, Thor Wittich
公開日: 2025/9/17
Abstract
We show that algebra objects in model categories can be transferred to algebra objects in $\infty$-categories, without any cofibrancy or fibrancy assumptions on the algebra. We furthermore show under some mild extra assumptions that this correspondence extends to commutative bialgebras and to commutative Hopf algebras.