RELATIVELY AMENABLE ACTIONS OF THOMPSON'S GROUPS

被引：0

作者：

Scarparo, Eduardo ^{[1
]}

机构：

[1] Univ Fed Santa Catarina, Dept Math, BR-88040900 Florianopolis, SC, Brazil

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2022年 / 106卷 / 01期

关键词：

relatively amenable actions; Thompson's groups; Kirchberg algebra; universal coefficient theorem; groupoid of germs; AMENABILITY;

D O I：

10.1017/S0004972721000873

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the notion of relatively amenable topological action and show that the action of Thompson's group T on S-1 is relatively amenable with respect to Thompson's group F. We use this to conclude that F is exact if and only if T is exact. Moreover, we prove that the groupoid of germs of the action of T on S-1 is Borel amenable.

引用

页码：144 / 150

页数：7

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