Axiomatizability of the stable rank of C*-algebras
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- 1611.08462
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We show that the class of C*-algebras with stable rank greater than a given positive integer is axiomatizable in logic of metric structures. As a consequence we show that the stable rank is continuous with respect to forming ultrapowers of C*-algebras, and that stable rank is Kadison–Kastler stable.
Originalsprog | Engelsk |
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Tidsskrift | Muenster Journal of Mathematics |
Vol/bind | 10 |
Udgave nummer | 2 |
Sider (fra-til) | 269-275 |
ISSN | 1867-5778 |
DOI | |
Status | Udgivet - 2017 |
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ID: 195899921