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.
OriginalsprogEngelsk
TidsskriftMuenster Journal of Mathematics
Vol/bind10
Udgave nummer2
Sider (fra-til)269-275
ISSN1867-5778
DOI
StatusUdgivet - 2017

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