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arXiv · 2509.13602

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

Inbar Klang·Josefien Kuijper·Cary Malkiewich·David Mehrle·Thor Wittich
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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.

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Inbar Klang, Josefien Kuijper, Cary Malkiewich, David Mehrle, Thor Wittich. 2025-09-17. From Hopf Algebras in Model Categories to Hopf Algebras in $\infty$-categories. https://arxiv.org/abs/2509.13602

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