Quasidiagonal traces on exact C^⁎-algebras

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• 作者：James Gabe ^{jamiegabe123@hotmail.com}
• 关键词：46L05 ; 46L35 ; 46L80
• 刊名：Journal of Functional Analysis
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：272
• 期：3
• 页码：1104-1120
• 全文大小：408 K
• 卷排序：272

文摘

Recently, it was proved by Tikuisis, White and Winter that any faithful trace on a separable, nuclear C⁎C⁎-algebra in the UCT class is quasidiagonal. Building on their work, we generalise the result, and show that any faithful, amenable trace on a separable, exact C⁎C⁎-algebra in the UCT class is quasidiagonal. We also prove that any amenable trace on a separable, exact, quasidiagonal C⁎C⁎-algebra in the UCT class is quasidiagonal.