Enveloping Actions for Partial Hopf Actions
نویسنده
چکیده
Motivated by partial group actions on unital algebras, in this article we extend many results obtained by Exel and Dokuchaev [6] to the context of partial actions of Hopf algebras, according to Caenepeel and Jansen [3]. First, we generalize the theorem about the existence of an enveloping action, also known as the globalization theorem. Second, we construct a Morita context between the partial smash product defined by the authors of [3] and the smash product related to the enveloping action. Third, we dualize the globalization theorem to partial coactions and finally, we define partial representations of Hopf algebras and show some results relating partial actions and partial representations.
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