A Complete Classification of AI Algebras with the Ideal Property
Kui Ji, Chunlan Jiang · Canadian Journal of Mathematics · 2011
Abstract LetAbe an AI algebra; that is,Ais the C*-algebra inductive limit of a sequence where are [0, 1],kn, and [n,i] are positive integers. Suppose thatAhas the ideal property: each closed two-sided ideal ofAis generated by the projections inside the ideal, as a closed two-sided ideal. In this article, we give a complete classification of AI algebras with the ideal property.