RIS ID
18805
Abstract
Let Γ be a totally ordered abelian group and I an order ideal in Γ. We prove a theorem which relates the structure of the Toeplitz algebra T(Γ) to the structure of the Toeplitz algebras T(I) and T(Γ/I). We then describe the primitive ideal space of the Toeplitz algebra T(Γ) when the set Σ(Γ) of order ideals in Γ is well-ordered, and use this together with our structure theorem to deduce information about the ideal structure of T(Γ) when 0→ I→ Γ→ Γ/I→ 0 is a non-trivial group extension.
Publication Details
Adji, S., Raeburn, I. F. & Rosjanuardi, R. (2007). Group Extensions and the Primitive Ideal Spaces of Toeplitz Algebras. Glasgow Mathematical Journal, 49 (1), 81-92. Copyright Cambridge University Press.