THE CALKIN ALGEBRA IS NOT COUNTABLY HOMOGENEOUS

被引：5
|
作者：
Farah, Ilijas [1 ]
Hirshberg, Ilan [2 ]
机构：
[1] York Univ, Dept Math & Stat, 4700 Keele St, N York, ON M3J 1P3, Canada
[2] Ben Gurion Univ Negev, Dept Math, POB 653, IL-84105 Beer, Sheva, Israel
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 12期
关键词：
CSTAR-ALGEBRAS; AUTOMORPHISMS; EXTENSIONS;
D O I：
10.1090/proc/13137
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：5351 / 5357
页数：7
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