On the independence of K-theory and stable rank for simple C*-algebras

Details On the independence of K-theory and stable rank for simple C*-algebras On the independence of K-theory and stable rank for simple C*-algebras

2005-09-19

arxiv.org/abs/math/0509427v1

J. Reine und Angew. Math. 578 (2005), pp. 185-199

Mathematics

Operator Algebras

18 pages

Scientific paper

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.

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