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Nuclear dimension and \(\mathcal Z\)-stability - MaRDI portal

Nuclear dimension and \(\mathcal Z\)-stability (Q894235)

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Nuclear dimension and \(\mathcal Z\)-stability
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    Nuclear dimension and \(\mathcal Z\)-stability (English)
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    30 November 2015
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    The main result of the paper is the following theorem: If \(A\) is a simple, separable, unital, nuclear and \(\mathcal Z\)-stable \(C^*\)-algebra with a unique tracial state then its nuclear dimension is \(\leq 3\).
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    nuclear \(C^*\)-algebra
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    simple \(C^*\)-algebra
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    nuclear dimension
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    tracial state
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    \(\mathcal Z\)-stability
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