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.

引用

页码：409 / 430

页数：22

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