TY - JOUR AB - 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. AU - Farah, Ilijas AU - Rørdam, Mikael AU - Rørdam, M. AU - Rordam, Mikael DA - 2017 DO - 10.17879/33249445432 LA - eng IS - Münster Journal of Mathematics M2 - 269 PY - 2017 SP - 269-275 T2 - Münster Journal of Mathematics TI - Axiomatizability of the stable rank of C*-algebras UR - https://nbn-resolving.org/urn:nbn:de:hbz:6-33249445754 Y2 - 2024-11-22T14:27:28 ER -