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 |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.