Effective descent morphisms for Banach modules

2017/01/19 by Mesablishvili, Bachuki
#18D10 #46H25 #46M15 #Category Theory (math.CT) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1701.05330

Abstract

It is proved that a norm-decreasing homomorphism of commutative Banach algebras is an effective descent morphism for Banach modules if and only if it is a weak retract.

Related

• Pure morphisms are effective for modules
• Effective descent morphisms of ordered families
• Functors Preserving Effective Descent Morphisms
• Constructions preserving n-weak amenability of Banach algebras
• Arens regularity of module actions and weak amenability of Banach algebras