L2-Betti numbers of locally compact groups

被引：7
|
作者：
Petersen, Henrik Densing [1 ]
机构：
[1] Ecole Polytech Fed Lausanne, SB MATHGEOM EGG, CH-1015 Lausanne, Switzerland
来源：
COMPTES RENDUS MATHEMATIQUE | 2013年 / 351卷 / 9-10期
基金：
新加坡国家研究基金会;
关键词：
VON-NEUMANN-ALGEBRAS; ARBITRARY MODULES; DIMENSION THEORY;
D O I：
10.1016/j.crma.2013.05.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper is a summary and overview of results obtained in the author's thesis, "L-2-Betti Numbers of Locally Compact Groups", wherein the definition of L-2-Betti numbers for countable groups is extended to locally compact unimodular groups. In many cases, the L-2-Betti numbers of a lattice are proportional to those of the ambient locally compact group, yielding new results for certain classes of lattices, including arithmetic lattices and Kac-Moody lattices. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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页码：339 / 342
页数：4
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