GAFA Geometric And Functional Analysis

, Volume 17, Issue 3, pp 793–805 | Cite as

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

Article

Abstract.

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 variety free group outer automorphism group Nielsen transformation ergodic equivalence relation 

AMS Mathematics Subject Classification:

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

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Copyright information

© Birkhäuser Verlag, Basel 2007

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA

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