Invariance under twisting for crossed products

2011/07/06 by Florin Panaite · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.1090/s0002-9939-2011-11024-4

Abstract

We prove a result of the type “invariance under twisting” for Brzeziński’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 Brzeziński).

Cited by

• Equivalences for weak crossed products

Related

• Invariance under twisting for crossed products
• More examples of invariance under twisting
• Equivalent crossed products and cross product bialgebras
• L-R-smash products and L-R-twisted tensor products of algebras
• On quasi-Hopf smash products and twisted tensor products of quasialgebras