Fernánez Vilaboa, José ManuelAlonso Álvarez, José NicanorGonzález Rodríguez, RamónRodríguez Raposo, Ana Belén2024-02-072024-02-072010Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R. et al. Crossed Products in Weak Contexts. Appl Categor Struct 18, 231–258 (2010). https://doi.org/10.1007/s10485-008-9139-20927-2852http://hdl.handle.net/10347/32528his version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s10485-008-9139-2We define the general notion of crossed products in a weak context, which generalizes the ones defined by Blattner, Cohen and Montgomery, Doi and Takeuchi in the context of Hopf algebras and the one given by Brzezin´ ski. Also, the crossed products obtained by the authors, for weak Hopf algebras living in a symmetric monoidal category and weak C-cleft extensieng© Springer Naturehttp://creativecommons.org/licenses/by-nc-nd/4.0/Crossed productWeak Hopf algebrasWeak cleft extensionsBraided categories18D0516W30journal article10.1007/s10485-008-9139-21572-9095open access