Weak semiprojectivity for purely infinite C*-algebras

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We prove that a simple, separable, nuclear, purely infinite classifiable $C^*$-algebra is weakly semiprojective if and only if its $K$-groups are direct sums of cyclic groups.
10 pages, 3 figures. Drastically revised: a major technical argument has been removed to a separate article

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Operator Algebras, Primary 46L05, 46L80. Secondary 22A22

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http://salesiana.dossiersoluciones.com/handle/123456789/64334

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206185
 http://arxiv.org/abs/math/0206185

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arXiv