The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension

被引：29
作者：
Elliott, George A. [1 ]
Gong, Guihua [2 ,3 ]
Lin, Huaxin [4 ,5 ]
Niu, Zhuang [6 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
[2] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
[3] Univ Puerto Rico, Dept Math, San Juan, PR 00936 USA
[4] East China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
[5] Univ Oregon, Dept Math, Eugene, OR 97403 USA
[6] Univ Wyoming, Dept Math, Laramie, WY 82071 USA
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 158卷
基金：
加拿大自然科学与工程研究理事会; 美国国家科学基金会;
关键词：
REAL RANK; Z-STABILITY; UNITARY EQUIVALENCE; TRACES;
D O I：
10.1016/j.geomphys.2020.103861
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The class of simple separable KK-contractible (KK-equivalent to {0}) C*-algebra s which have finite nuclear dimension is shown to be classified by the Elliott invariant. In particular, the class of C*-algebra s A circle times W is classifiable, where A is a simple separable C*-algebra with finite nuclear dimension and W is the simple inductive limit of Razak algebras with unique trace, which is bounded (see Razak (2002) and Jacelon (2013)). (C) 2020 Elsevier B.V. All rights reserved.
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页数：51
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