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.

引用

页码：567 / 608

页数：42

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