CHARACTERISATION OF PRIMITIVE IDEALS OF TOEPLITZ ALGEBRAS OF QUOTIENTS
Abstract: Let Γ be a totally
ordered abelian group, the topology on primitive ideal space of Toeplitz
algebras Prim T (Γ) can be identified through the upwards-lookingtopology if
and only if the chain of order ideals is well-ordered. Let I be an orderideal
of such that the chain of order ideals of Γ=I is not well-ordered, we show thatfor
any order ideal J ’ I , the topology on primitive ideal space can be identifiedthrough
the upwards-looking topology. Also we discuss the closed sets in Prim T (Γ) with
the upwards-looking topology and characterize maximal primitive ideals.
Author: Rizky Rosjanuardi
Journal Code: jpmatematikagg120020
