GAFA Geometric And Functional Analysis

, Volume 17, Issue 3, pp 793–805

An Ergodic Action of the Outer Automorphism Group of a Free Group


DOI: 10.1007/s00039-007-0609-8

Cite this article as:
Goldman, W.M. GAFA, Geom. funct. anal. (2007) 17: 793. doi:10.1007/s00039-007-0609-8


For n > 2, the action of the outer automorphism group of the rank n free group Fn on Hom(Fn, SU(2))/SU(2) is ergodic with respect to the Lebesgue measure class.

Keywords and phrases:

Character varietyfree groupouter automorphism groupNielsen transformationergodic equivalence relation

AMS Mathematics Subject Classification:

57M05 (Low-dimensional topology)22D40 (Ergodic theory on groups)

Copyright information

© Birkhäuser Verlag, Basel 2007

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA