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

页码：810 / 826

页数：17

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