Minimal Dynamics and K-theoretic Rigidity: Elliott's Conjecture

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Let X be an infinite, compact, metrizable space of finite covering dimension and h a minimal homeomorphism of X. We prove that the crossed product of C(X) by h absorbs the Jiang-Su algebra tensorially and has finite nuclear dimension. As a consequence, these algebras are determined up to isomorphism by their graded ordered K-theory under the necessary condition that their projections separate traces. This result applies, in particular, to those crossed products arising from uniquely ergodic homeomorphisms.
19 pages

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Operator Algebras, Dynamical Systems, 46L85; 46L35

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http://salesiana.dossiersoluciones.com/handle/123456789/224486

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.4133
 http://arxiv.org/abs/0903.4133

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arXiv