All Irrational Extended Rotation Algebras are AF Algebras

被引：3
|
作者：
Elliott, George A. [1 ]
Niu, Zhuang [2 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
[2] Univ Wyoming, Dept Math, Laramie, WY 82071 USA
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2015年 / 67卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
irrational rotation algebra; extended irrational rotation algebra; AF-embedding; C-ASTERISK-ALGEBRAS;
D O I：
10.4153/CJM-2014-022-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let theta is an element of [0, l] be any irrational number. It is shown that the extended rotation algebra B-theta introduced by the authors in J. Reine Angew. Math. 665(2012), pp. 1-71, is always an AF algebra.
引用
收藏
页码：810 / 826
页数：17
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