Coarse Non-Amenability and Coarse Embeddings

被引：32

作者：

Arzhantseva, Goulnara ^{[1
]}

Guentner, Erik ^{[2
]}

Spakula, Jan ^{[3
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

[2] Univ Hawaii Manoa, Dept Math, Honolulu, HI 96822 USA

[3] Univ Munster, Math Inst, D-48149 Munster, Germany

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2012年 / 22卷 / 01期

关键词：

Amenability; coarse embeddings; graph coverings; EXACTNESS; SPACES;

D O I：

10.1007/s00039-012-0145-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct the first example of a coarsely non-amenable (= without Guoliang Yu's property A) metric space with bounded geometry which coarsely embeds into a Hilbert space.

引用

页码：22 / 36

页数：15

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