| Authors: | Farah, Ilijas Rørdam, Mikael |
Title: | Axiomatizability of the stable rank of C*-algebras | Journal: | Münster Journal of Mathematics | Volume: | 10 | Issue: | 2 | First page: | 269 | Last page: | 275 | Issue Date: | 25-Nov-2016 | ISSN: | 1867-5778 | DOI: | 10.17879/33249445432 | URL: | http://arxiv.org/abs/1611.08462v2 | Abstract: | 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. |
Publisher: | Universität Münster |
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