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arXiv · 1101.0166

The Arens-Michael envelope of a smash product

A. Yu. Pirkovskii
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Abstract

Given a Hopf algebra H and an H-module algebra A, we explicitly describe the Arens-Michael envelope of the smash product A#H in terms of the Arens-Michael envelope of H and a certain completion of A. We also give an example (Manin's quantum plane) showing that the result fails for non-Hopf bialgebras.

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A. Yu. Pirkovskii. 2010-12-30. The Arens-Michael envelope of a smash product. https://arxiv.org/abs/1101.0166

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