WEAK AMENABILITY OF LIE GROUPS MADE DISCRETE

被引：0

作者：

Knudby, Soren ^{[1
]}

机构：

[1] Westfalische Wilhelms Univ, Math Inst, Munster, Germany

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2018年 / 297卷 / 01期

关键词：

weak amenability; Lie groups; locally compact groups; FOURIER ALGEBRA; II1; FACTORS; MULTIPLIERS;

D O I：

10.2140/pjm.2018.297.101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We completely characterize connected Lie groups all of whose countable subgroups are weakly amenable. We also provide a characterization of connected semisimple Lie groups that are weakly amenable. Finally, we show that a connected Lie group is weakly amenable if the group is weakly amenable as a discrete group.

引用

页码：101 / 116

页数：16

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