Two-dimensional systolic complexes satisfy property A

被引：2

作者：

Hoda, Nima ^{[1
]}

Osajda, Damian ^{[2
,3
]}

机构：

[1] McGill Univ, Dept Math & Stat, Burnside Hall,Room 1005,805 Sherbrooke St West, Montreal, PQ H3A 0B9, Canada

[2] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

[3] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00656 Warsaw, Poland

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2018年 / 28卷 / 07期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Systolic complex; CAT(0) triangle complex; property A; boundary amenability; exact group; DISCRETE-GROUPS; HILBERT-SPACE; CONJECTURE; EXACTNESS; GRAPHS;

D O I：

10.1142/S021819671850056X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that two-dimensional systolic complexes are quasi-isometric to quadric complexes with flat intervals. We use this fact along with the weight function of Brodzki, Campbell, Guentner, Niblo and Wright [J. Brodzki, S. J. Campbell, E. Guentner, G. A. Niblo and N. J. Wright, Property A and CAT(0) cube complexes, J. Funct. Anal. 256(5) (2009) 1408-1431] to prove that two-dimensional systolic complexes satisfy property A.

引用

页码：1247 / 1254

页数：8

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