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Hopf algebras of smooth functions on compact Lie groups

Eva C. Farkas (2000)

Commentationes Mathematicae Universitatis Carolinae

A C -Hopf algebra is a C -algebra which is also a convenient Hopf algebra with respect to the structure induced by the evaluations of smooth functions. We characterize those C -Hopf algebras which are given by the algebra C ( G ) of smooth functions on some compact Lie group G , thus obtaining an anti-isomorphism of the category of compact Lie groups with a subcategory of convenient Hopf algebras.

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