Hilbert space compression for free products and HNN-extensions

被引：3
作者：
Dreesen, Dennis [1 ,2 ]
机构：
[1] KU Leuven Campus Kortrijk, B-8500 Kortrijk, Belgium
[2] Univ Neuchatel, Inst Math, CH-2009 Neuchatel, Switzerland
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2011年 / 261卷 / 12期
关键词：
(Equivariant) Hilbert space compression; Bass-Serre theory; Free products; HNN-extensions; UNIFORM EMBEDDABILITY; EXACTNESS;
D O I：
10.1016/j.jfa.2011.08.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the behavior of equivariant and non-equivariant Hilbert space compression under group constructions. Given the (equivariant or non-equivariant) Hilbert space compression of two groups, we find bounds on the compression of their free product. We also investigate the case of HNN-extensions of a group relative to a subgroup which is finite or of finite index. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：3585 / 3611
页数：27
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