Reflexivity of Hilbertian modules over the algebra of compact operators with an adjoint unit (Q1096853)

Let d be the \(C^*\)-algebra of compact operators on a separable infinite dimensional Hilbert space H; A the algebra of operators of the form \(a=\lambda +K\), where \(\lambda\in {\mathbb{C}}\) and \(K\in d\). The aim of this paper is to prove that: If M is a countably generated right Hilbert-module over A (i.e. it is a right A-module with an A-valued hermitian inner product) then M is reflexiv.