Iterated crossed products

2013/03/08 by Panaite, Florin
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1303.2139

Abstract

We define a "mirror version" of Brzezinski's crossed product and we prove that, under certain circumstances, a Brzezinski crossed product D⊗_{R, σ}V and a mirror version W⊗_{P, ν}D may be iterated, obtaining an algebra structure on W⊗ D⊗ V. Particular cases of this construction are the iterated twisted tensor product of algebras and the quasi-Hopf two-sided smash product.

Related

• Two-sided crossed products
• Invariance under twisting for crossed products
• Invariance under twisting for crossed products
• L-R-crossed products
• L-R-smash products and L-R-twisted tensor products of algebras