A non-amenable groupoid whose maximal and reduced C*-algebras are the same

被引：23

作者：

Willett, Rufus ^{[1
]}

机构：

[1] Univ Hawaii Manoa, Dept Math, 2565 McCarthy Mall, Honolulu, HI 96822 USA

来源：

MUENSTER JOURNAL OF MATHEMATICS | 2015年 / 8卷 / 01期

关键词：

D O I：

10.17879/65219671638

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a non-amenable locally compact groupoid whose maximal and reduced C*-algebras are the same. Our example is based closely on constructions used by Higson, Lafforgue, and Skandalis in their work on counterexamples to the Baum-Connes conjecture. It is a bundle of countable groups over the one-point compactification of the natural numbers, and is Hausdorff, second countable and etale.

引用

页码：241 / 252

页数：12

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