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VOL. 80 | 2019 On asymptotic stability of connective groups
Marius Dadarlat

Editor(s) Masaki Izumi, Yasuyuki Kawahigashi, Motoko Kotani, Hiroki Matui, Narutaka Ozawa

Abstract

In their study of almost group representations, Manuilov and Mishchenko introduced and investigated the notion of asymptotic stability of a finitely presented discrete group. In this paper we establish connections between connectivity of amenable groups and asymptotic stability and exhibit new classes of asymptotically stable groups. In particular, we show that if $G$ is an amenable and connective discrete group whose classifying space $BG$ is homotopic to a finite simplicial complex, then $G$ is asymptotically stable.

Information

Published: 1 January 2019
First available in Project Euclid: 21 August 2019

zbMATH: 07116422
MathSciNet: MR3966583

Digital Object Identifier: 10.2969/aspm/08010053

Subjects:
Primary: 46L80
Secondary: 19K99

Rights: Copyright © 2019 Mathematical Society of Japan

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