Invariance under twisting for crossed products
@inproceedings{Panaite2010InvarianceUT, title={Invariance under twisting for crossed products}, author={Florin Panaite}, year={2010} }
We prove a result of the type "invariance under twisting" for Brzezinski's crossed prod- ucts, 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).
6 Citations
Equivalences for weak crossed products
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In this article, we give a criterion that characterizes equivalent weak crossed products. By duality, we obtain a similar result for weak crossed coproducts and, as a consequence, we find the…
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In this article, we give a criterion that characterizes equivalent weak crossed products. By duality, we obtain a similar result for weak crossed coproducts and, as a consequence, we find the…
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We define a "mirror version" of Brzezinski's crossed product and we prove that, under certain circumstances, a Brzezinski crossed product D\otimes_{R, \sigma}V and a mirror version W\bar{\otimes}_{P,…
A note on Morita equivalence of twisted crossed products
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In this paper we prove that strongly Morita equivalent twisted actions of a locally compact group on C∗-algebras have strongly Morita equivalent twisted crossed products [4],[31]. We also present an…
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Bialgebroids (respectively Hopf algebroids) are bialgebras (Hopf algebras) over noncommutative rings. Drinfeld twist techniques are particularly useful in the (deformation) quantization of Lie…
Equivalent Crossed Products and Cross Product Bialgebras
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In a previous article we proved a result of the type “invariance under twisting” for Brzeziński's crossed products. In this article we prove a converse of this result, obtaining thus a…
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