Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-17T23:37:38.915Z Has data issue: false hasContentIssue false
  • English
  • Français

EXOTIC ACTIONS ON TREES

Published online by Cambridge University Press:  01 May 1997

CHARLES HOLTON  and
LUCA Q. ZAMBONI
CHARLES HOLTON
Affiliation:
Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720-3840, USA
LUCA Q. ZAMBONI
Affiliation:
Department of Mathematics, University of North Texas, Denton, TX 76203-5116, USA
Get access

Abstract

We give an explicit example of an exotic (non-simplicial), geometric free action of the free group [ ]3 on an ℝ-tree T. We begin by associating an interval translation mapping of the unit interval to an automorphism ψ of [ ]3. We use a result of D. Gaboriau and G. Levitt to obtain an [ ]3-action on an ℝ-tree T. We show that for our particular choice of ψ, the resulting [ ]3-action is minimal, free and exotic.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 3 , May 1997 , pp. 309 - 313
Copyright
© The London Mathematical Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)