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- W2950046471 abstract "We show that, if A is a separable simple unital C*-algebra which absorbs the Jiang-Su algebra Z tensorially and which has real rank zero and finite decomposition rank, then A is tracially AF in the sense of Lin, without any restriction on the tracial state space. As a consequence, the Elliott conjecture is true for the class of C*-algebras as above which, additionally, satisfy the Universal Coefficients Theorem. In particular, such algebras are completely determined by their ordered K-theory. They are approximately homogeneous of topological dimension less than or equal to 3, approximately subhomogeneous of topological dimension at most 2 and their decomposition rank also is no greater than 2." @default.
- W2950046471 created "2019-06-27" @default.
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- W2950046471 date "2005-02-09" @default.
- W2950046471 modified "2023-09-27" @default.
- W2950046471 title "On the classification of simple Z-stable C*-algebras with real rank zero and finite decomposition rank" @default.
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