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arXiv · 1110.6724

Partial and unified crossed products are weak crossed products

J. M. Fernández Vilaboa·R. González Rodríguez·A. B. Rodríguez Raposo
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Abstract

In [J.M. Fernández Vilaboa, R. González Rodríguez and A.B. Rodríguez Raposo: Preunits and weak crossed products. J. of Pure Appl. Algebra 213, 2244-2261 (2009)] the notion of a weak crossed product of an algebra by an object, both living in a monoidal category was presented. Unified crossed products defined in [A. Agore, G. Militaru: Extending structures II: The quantum version. arXiv:1011.2174v3 (2011)] and partial crossed products defined in [M. Muniz S. Alves, E. Batista, M. Dokuchaev, A. Paques: Twisted partial actions of Hopf algebras. preprint (2011)] are crossed product structures defined for a Hopf algebra and another object. In this paper we prove that unified crossed products and partial crossed products are particular instances of weak crossed products.

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J. M. Fernández Vilaboa, R. González Rodríguez, A. B. Rodríguez Raposo. 2011-10-31. Partial and unified crossed products are weak crossed products. https://arxiv.org/abs/1110.6724

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