Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772426 | Journal of Functional Analysis | 2017 | 17 Pages |
Abstract
Recently, it was proved by Tikuisis, White and Winter that any faithful trace on a separable, nuclear Câ-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 Câ-algebra in the UCT class is quasidiagonal. We also prove that any amenable trace on a separable, exact, quasidiagonal Câ-algebra in the UCT class is quasidiagonal.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
James Gabe,