From Hopf Algebras in Model Categories to Hopf Algebras in $\infty$-categories

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.

v1: Comments welcome!