Mathematics – Operator Algebras
Scientific paper
2010-02-10
Mathematics
Operator Algebras
changed introduction, added lemma
Scientific paper
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.
Robert Leonel
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