An infinite family of non-isomorphic C*-algebras with identical K-theory

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We exhibit a countably infinite family of simple, separable, nuclear, and mutually non-isomorphic C*-algebras which agree on K-theory and traces. The algebras do not absorb the Jiang-Su algebra Z tensorially, answering a question of N. C. Phillips. They are also pairwise shape and Morita equivalent. The distinguishing invariant is the radius of comparison, a non-stable invariant of the Cuntz semigroup.
12 pages, to appear in Trans. AMS

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Operator Algebras, K-Theory and Homology, 46L35; 46L80

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http://salesiana.dossiersoluciones.com/handle/123456789/136472

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609214
 http://arxiv.org/abs/math/0609214

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arXiv