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arXiv · 0806.2948

Decomposition rank and Z-stability

Wilhelm Winter
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Abstract

We show that separable, simple, 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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Wilhelm Winter. 2009-08-28. Decomposition rank and Z-stability. https://arxiv.org/abs/0806.2948

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