A cohomological description of property (T) for quantum groups

被引：19

作者：

Kyed, David ^{[1
]}

机构：

[1] Univ Gottingen, Math Inst, D-37073 Gottingen, Germany

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2011年 / 261卷 / 06期

关键词：

Property (T); Quantum groups; L-2-Betti numbers; CO-AMENABILITY; REPRESENTATIONS; 1-COHOMOLOGY; ALGEBRA;

D O I：

10.1016/j.jfa.2011.05.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Delorme-Guichardet type theorem for discrete quantum groups expressing property (T) of the quantum group in question in terms of its first cohomology groups. As an application, we show that the first L-2-Betti number of a discrete property (T) quantum group vanishes. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1469 / 1493

页数：25

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