Embedding C*-Algebras Into the Calkin Algebra

被引：4
|
作者：
Farah, Ilijas [1 ]
Katsimpas, Georgios [1 ]
Vaccaro, Andrea [2 ]
机构：
[1] York Univ, Dept Math & Stat, 4700 Keelee St, N York, ON M3J 1P3, Canada
[2] Univ Pisa, Dept Math, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2021年 / 2021卷 / 11期
关键词：
PROJECTIONS;
D O I：
10.1093/imrn/rnz058
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that, under Martin's axiom, every C*-algebra of density character less than continuum embeds into the Calkin algebra. Furthermore, we show that it is consistent with Zermelo-Fraenkel set theory plus the axiom of choice, ZFC, that there is a C*- algebra of density character less than continuum that does not embed into the Calkin algebra.
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页码：8188 / 8224
页数：37
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