Classification of tiling \(C^\)-algebras
Classification of tiling \(C^\)-algebras
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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We prove that Kellendonk's \(C^*\)-algebra of an aperiodic and repetitive tiling with finite local complexity is classifiable by the Elliott invariant. Our result follows from showing that tiling \(C^*\)-algebras are \(\mathcal{Z}\)-stable, and hence have finite nuclear dimension. To prove \(\mathcal{Z}\)-stability, we extend Matui's notion of almo...
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Classification of tiling \(C^\)-algebras
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TN_cdi_proquest_journals_2268454445
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2268454445
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2331-8422
