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arxiv: 1008.0123 · v1 · pith:XVMBHEMFnew · submitted 2010-07-31 · 🧮 math.QA

Invariance under twisting for crossed products

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keywords productsinvariancetwistingundercrossedbrzezinskiresultalgebras
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We prove a result of the type ''invariance under twisting'' for Brzezinski's crossed products, as a common generalization of the invariance under twisting for twisted tensor products of algebras and the invariance under twisting for quasi-Hopf smash products. It turns out that this result contains also as a particular case the equivalence of crossed products by a coalgebra (due to Brzezinski).

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