2015/11/09 by James Gabe, Gabe, James
Mathematics · Physics and Astronomy · #46L05 #46L35 #46L80 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #math.OA #msc:46L05 #msc:46L35 #msc:46L80
paper · pdf · doi:10.48550/arxiv.1511.02760
13 pages
arxiv created 2015/11/09 · openalex publication_date 2015/11/09 · arxiv updated 2015/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, it was proved by Tikuisis, White and Winter that any faithful trace on a separable, nuclear C^∗-algebras 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^∗-algebras in the UCT class is quasidiagonal. We also prove that any amenable trace on a separable, exact, quasidiagonal C^∗-algebra in the UCT class is quasidiagonal.