On the independence of K-theory and stable rank for simple C*-algebras
arXiv:math/0509427
Abstract
We construct a simple, separable, unital, and nuclear C*-algebra with weakly unperforated K_0-group which does not absorb the Jiang-Su algebra Z tensorially. As a result, we obtain a stably finite counter-example to Elliott's classification conjecture for simple, separable, and nuclear C*-algebras.
18 pages