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Author Robert, Leonel
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2010-02-10
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Operator Algebras ♦ math
Abstract It is shown that if a C*-algebra has nuclear dimension $n$ then its Cuntz semigroup has the property of $n$-comparison. It then follows from results by Ortega, Perera, and Rordam that $\sigma$-unital C*-algebras of finite nuclear dimension (and even of nuclear dimension at most $\omega$) are stable if and only if they have no non-zero unital quotients and no non-zero bounded traces.
Educational Use Research
Learning Resource Type Article


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