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arXiv · 1611.08462

Axiomatizability of the stable rank of C*-algebras

Ilijas Farah·Mikael Rørdam
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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.

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Ilijas Farah, Mikael Rørdam. 2016-11-25. Axiomatizability of the stable rank of C*-algebras. https://arxiv.org/abs/1611.08462

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