Two-dimensional systolic complexes satisfy property A-Reference-Cited by-同舟云学术

Two-dimensional systolic complexes satisfy property A

Published:2018-10-15 Issue:07 Volume:28 Page:1247-1254
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Hoda Nima¹,Osajda Damian²³

Affiliation:

1. Department of Mathematics and Statistics, McGill University, Burnside Hall, Room 1005, 805 Sherbrooke Street West, Montreal, QC, H3A 0B9, Canada

2. Instytut Matematyczny, Uniwersytet Wrocławski, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

3. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warszawa, Poland

Abstract

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 [Formula: see text] cube complexes, J. Funct. Anal. 256(5) (2009) 1408–1431] to prove that two-dimensional systolic complexes satisfy property A.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021819671850056X

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