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

Andrew S. Toms
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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.

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Andrew S. Toms. 2005-09-19. On the independence of K-theory and stable rank for simple C*-algebras. https://arxiv.org/abs/math/0509427

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