On the nuclear dimension of strongly purely infinite C^⁎-algebras

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• 作者：Gá ; bor Szabó ; ¹ ; ^{gabor.szabo@abdn.ac.uk}
• 关键词：46L85 ; 46L35
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：14 January 2017
• 年：2017
• 卷：306
• 期：Complete
• 页码：1262-1268
• 全文大小：272 K
• 卷排序：306

文摘

We show that separable, nuclear and strongly purely infinite C⁎C⁎-algebras have finite nuclear dimension. In fact, the value is at most three. This exploits a deep structural result of Kirchberg and Rørdam on strongly purely infinite C⁎C⁎-algebras that are homotopic to zero in an ideal-system preserving way.