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Minimal dynamics and the classification of C*-algebras

Let X be an infinite, compact, metrizable space of finite covering dimension and α: X → X a minimal homeomorphism. We prove that the crossed product C(X) ⋊(α) ℤ absorbs the Jiang-Su algebra tensorially and has finite nuclear dimension. As a consequence, these algebras are determined up to isomorphis...

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Détails bibliographiques
Auteurs principaux: Toms, Andrew S., Winter, Wilhelm
Format: Artigo
Langue:Inglês
Publié: National Academy of Sciences 2009
Sujets:
Accès en ligne:https://ncbi.nlm.nih.gov/pmc/articles/PMC2761370/
https://ncbi.nlm.nih.gov/pubmed/19805164
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0903629106
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