We study the globalization of partial actions on sets and topological spaces and of partial coactions on algebras by applying the general theory of globalization for geometric partial comodules, as previously developed by the authors. We show that this approach does not only allow to recover all known results in these settings, but it allows to treat new cases of interest, too.

On the globalization of geometric partial (co)modules in the categories of topological spaces and algebras

Saracco, Paolo;
2022-01-01

Abstract

We study the globalization of partial actions on sets and topological spaces and of partial coactions on algebras by applying the general theory of globalization for geometric partial comodules, as previously developed by the authors. We show that this approach does not only allow to recover all known results in these settings, but it allows to treat new cases of interest, too.
2022
105
2
534
550
https://arxiv.org/abs/2107.06574
https://doi.org/10.1007/s00233-022-10269-3
Globalization, partial action, partial coaction, geometric partial module, geometric partial comodule, partial comodule algebra
Saracco, Paolo; Vercruysse, Joost
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1858148
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