A Complete Classification of Al Algebras with the Ideal Property

作者：Ji Kui^*; Jiang Chunlan

来源：Canadian Journal of Mathematics, 2011, 63(2): 381-412.

DOI：10.4153/CJM-2011-005-9

• Al algebras
• K-group
• tracial state
• ideal property
• classification

Let A be an Al algebra; that is, A is the C*-algebra inductive limit of a sequence
A(1)(phi 1,2) -> A(2)(phi 2,3) -> A(3) -> ... -> A(n) -> ... ,
where A(n) = circle plus(kn)(i=1) M([n,i]) (C(X(n)(i))), X(n)(i) are [0, 1], k(n), and [n, i] are positive integers. Suppose that A has the ideal property: each closed two-sided ideal of A is generated by the projections inside the ideal, as a closed two-sided ideal. In this article, we give a complete classification of Al algebras with the ideal property.

• 出版日期2011-4
• 单位河北师范大学