K-theory of certain purely infinite crossed products

被引：3
作者：
Elliott, George A. [1 ,2 ]
Sierakowski, Adam [2 ,3 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
[2] Fields Inst Res Math Sci, 222 Coll St,2nd Floor, Toronto, ON M5T 3J1, Canada
[3] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2500, Australia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 443卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
C*-algebra; Crossed products; K-theory; C-ASTERISK-ALGEBRAS; REAL RANK ZERO; DYNAMICAL-SYSTEMS; DISCRETE-GROUPS; CONJECTURE; EXACTNESS; FINITE;
D O I：
10.1016/j.jmaa.2016.05.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It was shown by Rordam and the second named author that a countable group G admits an action on a. compact space such that the crossed product is a Kirchberg algebra if, and only if, G is exact and non-amenable. This construction allows a certain amount of choice. We show that different choices can lead to different algebras, at least with the free group. (c) 2016 Elsevier Inc. All rights reserved.
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页码：409 / 430
页数：22
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