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arxiv: 1709.04597 · v1 · pith:G6OAMKEQnew · submitted 2017-09-14 · 🧮 math.OA · math.FA

About the Cuntz Comparison for Non-simple C*-algebras

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keywords algebrascuntzcomparisonnon-simpletextcharacterizeelliottextended
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We study the Cuntz semigroup for non-simple $\text{C}^*$-algebras in this paper. In particular, we use the extended Elliott invariant to characterize the Cuntz comparison for $\text{C}^*$-algebras with the projection property which have only one ideal.

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