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arXiv · 1303.2139

Iterated crossed products

Florin Panaite
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Abstract

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, \nu}D may be iterated, obtaining an algebra structure on W\otimes D\otimes V. Particular cases of this construction are the iterated twisted tensor product of algebras and the quasi-Hopf two-sided smash product.

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Florin Panaite. 2013-03-08. Iterated crossed products. https://arxiv.org/abs/1303.2139

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