Every classifiable simple C*-algebra has a Cartan subalgebra

被引：25
|
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.
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页码：653 / 699
页数：47
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