# 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

- Mathematics
- 2015

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…

Equivalences for Weak Crossed Products

- Mathematics
- 2016

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…

Iterated crossed products

- Mathematics
- 2013

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

- Mathematics
- 2012

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…

Twisted bialgebroids versus bialgebroids from a Drinfeld twist

- Mathematics
- 2016

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

- Mathematics
- 2012

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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