STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C*-ALGEBRAS

被引：2
|
作者：
Eilers, Soren [1 ]
Restorff, Gunnar [2 ]
Ruiz, Efren [3 ]
机构：
[1] Univ Copenhagen, Dept Math Sci, Univ Pk 5, DK-2100 Copenhagen, Denmark
[2] Univ Faroe Islands, Fac Sci & Technol, Vestara Bryggja 15, FR-100 Torshavn, Faroe Islands
[3] Univ Hawaii, Dept Math, 200 W Kawili St, Hilo, HI 96720 USA
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2022年 / 59卷 / 03期
关键词：
Classification; extensions; graph algebras; RORDAMS CLASSIFICATION; TOPOLOGICAL-SPACES; NUCLEAR DIMENSION; IDEAL; ISOMORPHISM; SEQUENCES; THEOREM; FINITE;
D O I：
10.4134/BKMS.b210047
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that certain extensions of classifiable C*-algebras are strongly classified by the associated six-term exact sequence in K-theory together with the positive cone of K-0-groups of the ideal and quotient. We use our results to completely classify all unital graph C*-algebras with exactly one non-trivial ideal.
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页码：567 / 608
页数：42
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