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

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Abstract.

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

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland, College Park, MD, 20742, USA

    William M. Goldman

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  1. William M. Goldman
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Correspondence to William M. Goldman.

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The author gratefully acknowledges support from National Science Foundation grants DMS-0405605 and DMS-0103889.

Received: September 2005 Revision: January 2006 Accepted: March 2006

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Goldman, W.M. An Ergodic Action of the Outer Automorphism Group of a Free Group. GAFA, Geom. funct. anal. 17, 793–805 (2007). https://doi.org/10.1007/s00039-007-0609-8

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  • DOI: https://doi.org/10.1007/s00039-007-0609-8

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