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THE COMPOSITION SERIES OF IDEALS OF THE PARTIAL-ISOMETRIC CROSSED PRODUCT BY SEMIGROUP OF ENDOMORPHISMS
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 Title & Authors
THE COMPOSITION SERIES OF IDEALS OF THE PARTIAL-ISOMETRIC CROSSED PRODUCT BY SEMIGROUP OF ENDOMORPHISMS
ADJI, SRIWULAN; ZAHMATKESH, SAEID;
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 Abstract
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.
 Keywords
-algebra;endomorphism;semigroup;partial isometry;crossed product;primitive ideal;hull-kernel closure;
 Language
English
 Cited by
 References
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