Decomposition rank and Z-stability
Operator Algebras
2009-08-28 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.0806.2948,
title = {Decomposition rank and Z-stability},
author = {Wilhelm Winter},
journal= {arXiv preprint arXiv:0806.2948},
year = {2009}
}
Comments
Some small corrections and stylistic improvements; 72 pages; to appear in Invent. Math