Department of Mathematics2024-11-0920030022-123610.1016/S0022-1236(03)00143-52-s2.0-0346269090http://dx.doi.org/10.1016/S0022-1236(03)00143-5https://hdl.handle.net/20.500.14288/10930Let G be a locally compact amenable group, B(G) its Fourier–Stieltjes algebra and I be a closed ideal of it. In this paper we prove the following result: The ideal I has a unit element iff it is principal. This is the noncommutative version of the Glicksberg–Host–Parreau Theorem. The paper also contains an abstract version of this theorem.MathematicsJournal Article186950100004Q18790