On the Classification of Simple Unital C*-algebras with Finite Decomposition Rank
نویسندگان
چکیده
Let A be a unital simple separable C*-algebra satisfying the UCT. Assume that dr(A) < +∞, A is Jiang-Su stable, and K0(A)⊗Q ∼= Q. Then A is an ASH algebra (indeed, A is a rationally AH algebra).
منابع مشابه
On the Classification of Simple Unital C*-algebras with Finite Decomposition Rank, Ii
Let A be a simple separable unital C*-algebra satisfying the UCT, and assume that A has finite decomposition rank. Let Q denote the UHF algebra with K0(Q) = Q. Then A⊗Q can be tracially approximated by unital Elliott-Thomsen algebras, and therefore A ⊗ Z is an ASH algebra (hence classifiable), where Z is the Jiang-Su algebra.
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