Biprojectivity and biflatness of lau product of banach algebras defined by a banach algebra morphism

Abstract

Let φ be a homomorphism from a Banach algebra B to a Banach algebra A. We define a multiplication on the Cartesian product space A× B and obtain a new Banach algebra A×φB. We show that biprojectivity as well as biflatness of A×φB are stable with respect to φ. © 2014 Australian Mathematical Publishing Association Inc..