Decomposition rank and Z-stability

作者:Winter Wilhelm*
来源:Inventiones Mathematicae, 2010, 179(2): 229-301.
DOI:10.1007/s00222-009-0216-4

摘要

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.

  • 出版日期2010-2