K-theory of certain purely infinite crossed products

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:443

Article

Elliott, George A.^1,2  Sierakowski, Adam^2,3 

[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

关键词: C*-algebra;    Crossed products;    K-theory;   

DOI  :  10.1016/j.jmaa.2016.05.001

来源: Elsevier

【 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.

【 授权许可】

Free