On the classification of simple amenable C*-algebras with finite decomposition rank

被引：20

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：

OPERATOR ALGEBRAS AND THEIR APPLICATIONS: A TRIBUTE TO RICHARD V KADISON | 2016年 / 671卷

关键词：

Classification of C*-algebras; C*-algebras with finite decomposition rank; ASH algebras; ASYMPTOTIC UNITARY EQUIVALENCE; INDUCTIVE LIMITS; DIMENSION; TRACES;

D O I：

10.1090/conm/671/13506

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a unital simple separable C*-algebra satisfying the UCT. Assume that dr(A) < +infinity, A is Jiang-Su stable, and K-0(A) circle times Q congruent to Q. Then A is an ASH algebra (indeed, A is a rationally AH algebra).

引用

页码：117 / 125

页数：9

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