The Arens-Michael envelope of a smash product
Functional Analysis
2011-01-04 v1 Rings and Algebras
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.
Cite
@article{arxiv.1101.0166,
title = {The Arens-Michael envelope of a smash product},
author = {A. Yu. Pirkovskii},
journal= {arXiv preprint arXiv:1101.0166},
year = {2011}
}
Comments
6 pages