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EXTENSIONS OF QUASIDIAGONAL C*-ALGEBRAS AND CONTROLLING THE K0-MAP OF EMBEDDINGS
被引：0
|作者：
Moutzouris, Iason
[1
]
机构：
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
关键词：
C*-algebras;
extensions;
quasidiagonality;
Blackadar-Kirchberg Conjecture;
ASH-algebras;
CROSSED-PRODUCTS;
TRACES;
KO;
D O I：
10.7900/jot.2022feb22.2379
中图分类号：
O1 [数学];
学科分类号：
0701 ;
070101 ;
摘要：
We study the validity of the Blackadar-Kirchberg conjecture for extensions of separable, nuclear, quasidiagonal C*-algebras that satisfy the UCT. More specifically, we show that the conjecture for the extension has an affirmative answer if the ideal lies in a class of C*-algebras that is closed under local approximations and contains all separable ASH-algebras, as well as certain classes of simple, unital C* -algebras and crossed products of unital C*-algebras with Z.
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页码：125 / 168
页数：44
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