From wall spaces to CAT(0) cube complexes

被引：74

作者：

Chatterji, I

Niblo, G

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[2] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, England

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2005年 / 15卷 / 5-6期

关键词：

wall spaces; CAT(0) cube complexes; a-T-menability; proper actions on Hilbert spaces;

D O I：

10.1142/S0218196705002669

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We explain how to adapt a construction due to M. Sageev in order to construct a proper action of a group on a CAT(0) cube complex starting from a proper action of the group on a wall space.

引用

页码：875 / 885

页数：11

共 11 条

[1]

Bridson M. R., 2013, Metric spaces of non-positive curvature, V319

[2] Some geometric groups with rapid decay [J].

Chatterji, I ;

Ruane, K .

GEOMETRIC AND FUNCTIONAL ANALYSIS, 2005, 15 (02) :311-339

[3]

Cherix P-A, 2001, PROGR MATH, V197

[4]

CHERIX PA, IN PRESS ERGODIC THE

[5] E-theory and KK-theory for groups which act properly and isometrically on Hilbert space [J].

Higson, N ;

Kasparov, G .

INVENTIONES MATHEMATICAE, 2001, 144 (01) :23-74

[6] A geometric proof of Stallings' theorem on groups with more than one end - Dedicated to John Stallings on the occasion of his 65th birthday [J].

Niblo, GA .

GEOMETRIAE DEDICATA, 2004, 105 (01) :61-76

[7] Groups acting on cubes and Kazhdan's property (T) [J].

Niblo, GA ;

Roller, MA .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (03) :693-699

[8]

Nica B., 2004, Algebr. Geom. Topol., V4, P297, DOI 10.2140/agt.2004.4.297

[9]

Paulin Frederic, 1998, GEOMETRY TOPOLOGY MO, P181

[10]

SAGEEV M, 1995, P LOND MATH SOC, V71, P585

← 1 2 →