An Ergodic Action of the Outer Automorphism Group of a Free Group |
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| Authors: | William M. Goldman |
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| Affiliation: | (1) Department of Mathematics, University of Maryland, College Park, MD 20742, USA |
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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. 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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| Keywords: | and phrases: Character variety free group outer automorphism group Nielsen transformation ergodic equivalence relation |
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