Invariance of the Cuntz splice

被引：4

作者：

Eilers, Soren ^{[1
]}

Restorff, Gunnar ^{[2
]}

Ruiz, Efren ^{[3
]}

Sorensen, Adam P. W. ^{[4
]}

机构：

[1] Univ Copenhagen, Dept Math Sci, Univ Parken, DK-2100 Copenhagen, Denmark

[2] Univ Faroe Islands, Dept Sci & Technol, Noatun 3, FR-100 Torshavn, Denmark

[3] Univ Hawaii, Dept Math, 200 W Kawili St, Hilo, HI 96720 USA

[4] Univ Oslo, Dept Math, POB 1053, N-0316 Oslo, Norway

来源：

MATHEMATISCHE ANNALEN | 2017年 / 369卷 / 3-4期

基金：

新加坡国家研究基金会;

关键词：

C-ASTERISK-ALGEBRAS; FLOW EQUIVALENCE; CLASSIFICATION;

D O I：

10.1007/s00208-017-1570-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Cuntz splice induces stably isomorphic graph -algebras. This result is a key step towards the recent complete classification of unital graph -algebras both with respect to K-theoretical classification and with respect to geometrical classification in terms of an equivalence relation on the underlying graphs.

引用

页码：1061 / 1080

页数：20

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