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Bushy pseudocharacters and group actions on quasitrees

Álvaro Martínez-Pérez

Algebraic & Geometric Topology 12 (2012) 1721–1739

DOI: 10.2140/agt.2012.12.1721
Abstract

Given a group acting on a graph quasi-isometric to a tree, we give sufficient conditions for a pseudocharacter to be bushy. We relate this with the conditions studied by Bestvina and Fujiwara on their work on bounded cohomology and obtain some results on the space of pseudocharacters.

Keywords

group action, quasitree, bushy pseudocharacter
Mathematical Subject Classification

Primary: 05C05, 57M07

Secondary: 20J06
References
Publication

Received: 20 July 2011
Revised: 17 April 2012
Accepted: 31 May 2012
Published: 4 August 2012
Authors
Álvaro Martínez-Pérez
Departamento de Análisis Económico y Finanzas
Universidad de Castilla-La Mancha
Avda Real Fábrica de Seda, s/n
45600 Talavera de la Reina
Toledo
Spain