The Bounded Cohomology of SL2 Over Local Fields and S-Integers

被引：7
|
作者：
Bucher, Michelle [1 ]
Monod, Nicolas [2 ]
机构：
[1] Univ Geneva, CH-1211 Geneva 4, Switzerland
[2] Ecole Polytech Fed Lausanne, SB MATH EGG, CH-1015 Lausanne, Switzerland
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2019年 / 2019卷 / 06期
关键词：
D O I：
10.1093/imrn/rnx096
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that the continuous bounded cohomology of SL2(k) vanishes in all positive degrees whenever k is a non-Archimedean local field. This holds more generally for boundary-transitive groups of tree automorphisms and implies low degree vanishing for SL2 over S-integers.
引用
收藏
页码：1601 / 1611
页数：11
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