The Calkin algebra is not countably homogeneous
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- by Ilijas Farah and Ilan Hirshberg PDF
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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.References
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Additional Information
- Ilijas Farah
- Affiliation: Department of Mathematics and Statistics, York University, 4700 Keele Street, North York, Ontario, Canada, M3J 1P3
- MR Author ID: 350129
- Email: ifarah@yorku.ca
- Ilan Hirshberg
- Affiliation: Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be’er, Sheva 84105, Israel
- Email: ilan@math.bgu.ac.il
- Received by editor(s): June 14, 2015
- Received by editor(s) in revised form: July 9, 2015, January 28, 2016, January 29, 2016, and February 4, 2016
- Published electronically: May 23, 2016
- Communicated by: Adrian Ioana
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 5351-5357
- MSC (2010): Primary 03C50, 03C98, 46L05; Secondary 46L40
- DOI: https://doi.org/10.1090/proc/13137
- MathSciNet review: 3556277