An ergodic action of the outer automorphism group of a free group

Geometric and Functional Analysis

Volumn 17, Issue 3, 2007, Pages 793-805

  Goldman, William M ^a  

^a University of Maryland   (United States)

Author keywords

Character variety; Ergodic quivalence relation; Free group; Outer automorphism group Nielsen transformation

Indexed keywords

EID: 35148891104     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-007-0609-8     Document Type: Article

References (7)

1. R. BENEDETTO, W. GOLDMAN, The topology of the relative character variety of the quadruply-punctured sphere, Experimental Mathematics 8:1 (1999), 85-104.
2. A. GAMBURD, D. JAKOBSON, P. SARNAK, Spectra of elements in the group ring of SU(2), J. Eur. Math. Soc. (JEMS) 1:1 (1999), 51-85.
3. n) and the spectral gap conjecture, math.GR/0601050.
4. n in compact Lie groups, Israel J. Math., to appear.
5. W. GOLDMAN, Ergodic theory on moduli spaces, Ann. Math. 146 (1997), 475-507.
6. W. GOLDMAN, Action of the modular group on real SL(2)-characters of a one-holed torus, Geometry and Topology 7 (2003), 443-486.
7. D. PICKRELL, E. XIA, Ergodicity of mapping class group actions on representation varieties, I. Closed surfaces, Comment. Math. Helv. 77 (2001), 339-362.