The Calkin algebra is not countably homogeneous
Operator Algebras
2016-02-09 v2 Logic
Abstract
We show that the Calkin algebra is not countably homogeneous, in the sense of continuous model theory. We furthermore show that the connected component of the unitary group of the Calkin algebra is not countably homogeneous.
Cite
@article{arxiv.1506.07455,
title = {The Calkin algebra is not countably homogeneous},
author = {Ilijas Farah and Ilan Hirshberg},
journal= {arXiv preprint arXiv:1506.07455},
year = {2016}
}
Comments
Minor corrections. To appear in Proc. AMS