Partial dynamical systems and AF C*-algebras

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We obtain a characterization in terms of dynamical systems of those r-discrete groupoids for which the groupoid C*-algebra is approximately finite-dimensional (AF). These ideas are then used to compute the K-theory for AF algebras by utilizing the actions of these partial homeomorphisms, and these K-theoretic calculations are applied to some specific examples of AF algebras. Finally, we show that, for a certain class of dimension groups, a groupoid can be obtained directly from the dimension group's structure whose associated C*-algebra has K_0 group isomorphic to the original dimension group.
submitted to the Houston Journal of Mathematics

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Operator Algebras, 47L40; 46L80; 37A55

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http://salesiana.dossiersoluciones.com/handle/123456789/66379

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301337
 http://arxiv.org/abs/math/0301337

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arXiv