THE COMPOSITION SERIES OF IDEALS OF THE PARTIAL-ISOMETRIC CROSSED PRODUCT BY SEMIGROUP OF ENDOMORPHISMS ADJI, SRIWULAN; ZAHMATKESH, SAEID;
Let be the positive cone in a totally ordered abelian group , and an action of by extendible endomorphisms of a -algebra A. Suppose I is an extendible -invariant ideal of A. We prove that the partial-isometric crossed product embeds naturally as an ideal of , such that the quotient is the partial-isometric crossed product of the quotient algebra. We claim that this ideal together with the kernel of a natural homomorphism gives a composition series of ideals of studied by Lindiarni and Raeburn.