MEASURABILITY OF REPRESENTATIONS OF LOCALLY COMPACT-GROUPS

被引：0

作者：

LYUDKOVSKII, SV

机构：

[1] Institute of General Physics, Russian Academy of Sciences

来源：

SBORNIK MATHEMATICS | 1995年 / 186卷 / 1-2期

关键词：

D O I：

10.1070/SM1995v186n02ABEH000014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that a locally compact group is discrete if and only if all its irreducible unitary representations are weakly Haar-measurable. Furthermore, it is proved that an Abelian locally compact group is discrete if and only if all its characters are measurable. Similar results are obtained for complete Abelian groups and generalized loop groups.

引用

页码：245 / 255

页数：11

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