Reduced 1-cohomology and relative property (T)

被引：5

作者：

Fernos, Talia ^{[1
]}

Valette, Alain ^{[2
]}

Martin, Florian ^{[3
]}

机构：

[1] Hebrew Univ Jerusalem, Einstein Inst Math, IL-91904 Jerusalem, Israel

[2] Univ Neuchatel, Inst Math, CH-2007 Neuchatel, Switzerland

[3] Philip Morris Int, R&D Dept, CH-2000 Neuchatel, Switzerland

来源：

MATHEMATISCHE ZEITSCHRIFT | 2012年 / 270卷 / 3-4期

关键词：

SPACES; COHOMOLOGY; RIGIDITY; LATTICES;

D O I：

10.1007/s00209-010-0815-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Shalom characterized property (T) in terms of the vanishing of all reduced first cohomology for compactly generated groups. We characterize group pairs having the property that the restriction map on all first reduced cohomology vanishes. We show that, in a strong sense, this is inequivalent to relative property (T), even for compactly generated group-pairs.

引用

页码：613 / 626

页数：14

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