A NOTE ON TRACE SCALING ACTIONS AND FUNDAMENTAL GROUPS OF C*-ALGEBRAS

被引：0

作者：

Nawata, Norio ^{[1
]}

机构：

[1] Chiba Univ, Grad Sch Sci, Dept Math & Informat, Inage Ku, Chiba 2638522, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 11期

关键词：

Fundamental group; trace scaling action; dimension group; Effros-Handelman-Shen theorem; II1; FACTORS; AUTOMORPHISMS; EQUIVALENCE;

D O I：

10.1090/S0002-9939-2014-12346-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the Effros-Handelman-Shen theorem and Elliott's classification theorem of AF algebras, we show that there exists a unital simple AF algebra A with unique trace such that A circle times K admits no trace scaling action of the fundamental group of A.

引用

页码：3903 / 3908

页数：6

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