Commability and Focal Locally Compact Groups

被引：20
作者：
Cornulier, Yves [1 ]
机构：
[1] Univ Paris 11, Math Lab, F-91405 Orsay, France
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2015年 / 64卷 / 01期
关键词：
Compacting automorphisms; topological FC-center; locally compact groups; Gromov-hyperbolic groups; focal groups; commability; millefeuille spaces; quasi-isometric classification; LARGE-SCALE GEOMETRY; TOPOLOGICAL-GROUPS; AUTOMORPHISMS; GRAPHS; TREES;
D O I：
10.1512/iumj.2015.64.5441
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the notion of commability between locally compact groups, namely, the equivalence relation generated by co-compact inclusions and quotients by compact normal subgroups. We give a classification of focal hyperbolic locally compact groups up to commability. In the mixed case, it involves a real parameter, which is shown to be a quasi-isometry invariant.
引用
收藏
页码：115 / 150
页数：36
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