Axiomatizability of the stable rank of C*-algebras
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- 1611.08462
Accepted author manuscript, 127 KB, PDF document
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.
Original language | English |
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Journal | Muenster Journal of Mathematics |
Volume | 10 |
Issue number | 2 |
Pages (from-to) | 269-275 |
ISSN | 1867-5778 |
DOIs | |
Publication status | Published - 2017 |
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ID: 195899921