symmetric monoidal (∞,1)-category of spectra
A Hopf algebra is called involutive (or involutory, e.g. Kuperberg 91, Virelizier 02, Sec. 1.7) if its antipode is an involution.
Since the antipode of a Hopf algebra is necessarily an anti-homomorphism of the underlying associative algebra-structure (by this Prop.), an involutive Hopf algebra is in particular a star algebra.
Greg Kuperberg, Involutory Hopf algebras and 3-manifold invariants, Internat. J. Math. 2 (1991), no. 1, 41–66 (arXiv:math/9201301)
(in relation to 3-manifolds)
Alexis Virelizier, Involutory Hopf group-coalgebras and flat bundles over 3-manifolds (arXiv:math/0206254)
Created on May 10, 2021 at 14:10:18. See the history of this page for a list of all contributions to it.