Embedding C*-Algebras Into the Calkin Algebra

被引：3

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.

引用

页码：8188 / 8224

页数：37

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