Decomposition Rank and Z-stability
نویسنده
چکیده
We show that separable, simple, nonelementary, unital C∗-algebras with finite decomposition rank absorb the Jiang–Su algebra Z tensorially. This has a number of consequences for Elliott’s program to classify nuclear C∗algebras by their K-theory data. In particular, it completes the classification of C∗-algebras associated to uniquely ergodic, smooth, minimal dynamical systems by their ordered K-groups.
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تاریخ انتشار 2009