Every classifiable simple C*-algebra has a Cartan subalgebra

被引：26

作者：

Li, Xin ^{[1
]}

机构：

[1] Queen Mary Univ London, Sch Math Sci, Mile End Rd, London E1 4NS, England

来源：

INVENTIONES MATHEMATICAE | 2020年 / 219卷 / 02期

关键词：

SINGULAR HOMOLOGY; CLASSIFICATION; NUCLEAR;

D O I：

10.1007/s00222-019-00914-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct Cartan subalgebras in all classifiable stably finite C*-algebras. Together with known constructions of Cartan subalgebras in all UCT Kirchberg algebras, this shows that every classifiable simple C*-algebra has a Cartan subalgebra.

引用

页码：653 / 699

页数：47

共 7 条

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