Two-sided crossed products

2024/10/18 by Panaite, Florin
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2410.14908

Abstract

Given two associative algebras A, C and a linear space V together with some linear maps R₁, R₂, R₃, E satisfying some conditions, we define an associative algebra structure on A⊗ V⊗ C called a two-sided crossed product. Particular cases of this construction are the iterated twisted tensor product of algebras and the two-sided crossed product over a quasi-bialgebra.

Related

• L-R-crossed products
• Iterated crossed products
• On cross product Hopf algebras
• Crossed product of a C*-algebra by an endomorphism, coefficient algebras and transfer operators
• Crossed Products by a Coalgebra