Bushy pseudocharacters and group actions on quasitrees

Martínez-Pérez, Álvaro

doi:10.2140/agt.2012.12.1721

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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 2010

Primary: 57M07, 05C05

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

Volume 12, issue 3 (2012)