Center of Banach algebra valued Beurling algebras

Abstract

We prove that for a Banach algebra A having a bounded Z(A)-approximate identity and for every [IN] group G with weight w which is either constant on conjugacyAs an application, we discuss the conditions under which Z L 1 ω (G, A) enjoys certain Banach algebraic properties, for example, weak amenability, semisimplicity etc.