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.
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页码：1061 / 1080
页数：20
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