Crossed products of the Cantor set by free minimal actions of Z^d

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Let d be a positive integer, let X be the Cantor set, and let Z^d act freely and minimally on X. We prove that the crossed product C* (Z^d, X) has stable rank one, real rank zero, and cancellation of projections, and that the order on K_0 (C* (Z^d, X)) is determined by traces. We obtain the same conclusion for the C*-algebras of various kinds of aperiodic tilings.
41 pages, AMSLaTeX

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Operator Algebras, 19K14, 22A22, 46L80, 54H15, 57S99 (Primary) 19A13, 19B10, 46L55 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/64700

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208085
 http://arxiv.org/abs/math/0208085

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arXiv