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

共 25 条

[1] EXTENDING STATES ON PREORDERED SEMIGROUPS AND THE EXISTENCE OF QUASI-TRACES ON C-ASTERISK-ALGEBRAS [J].

BLACKADAR, B ;

RORDAM, M .

JOURNAL OF ALGEBRA, 1992, 152 (01) :240-247

[2]

Bosa J., 2015, COVERING DIMENSION C

[3] The Cuntz semigroup, the Elliott conjecture, and dimension functions on C *-algebras [J].

Brown, Nathanial P. ;

Perera, Francesc ;

Toms, Andrew S. .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2008, 621 :191-211

[4]

Brown NP, 2006, MEM AM MATH SOC, V184, P1

[5] Three Applications of the Cuntz Semigroup [J].

Brown, Nathanial P. ;

Toms, Andrew S. .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007, 2007

[6] On the classification of nuclear C*-algebras [J].

Dadarlat, M ;

Eilers, S .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2002, 85 :168-210

[7]

Elliott G., 2015, On the classification of simple amenable C*-algebras with finite decomposition rank, II

[8] On tracial approximation [J].

Elliott, George A. ;

Niu, Zhuang .

JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 254 (02) :396-440

[9] THE CONE OF LOWER SEMICONTINUOUS TRACES ON A C*-ALGEBRA [J].

Elliott, George A. ;

Robert, Leonel ;

Santiago, Luis .

AMERICAN JOURNAL OF MATHEMATICS, 2011, 133 (04) :969-1005

[10]

Gong G., 2015, CLASSIFICATION FINIT

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