An Ergodic Action of the Outer Automorphism Group of a Free Group
نویسندگان
چکیده
منابع مشابه
An Ergodic Action of the Outer Automorphism Group of a Free Group
Theorem. Suppose that G is a connected group locally isomorphic to a product of copies of SU(2) and U(1). If n > 2, then the Out(Fn)-action on Hom(Fn, G)/G is ergodic. We conjecture that Out(Fn) is ergodic on each connected component of Hom(Fn, G)/G for every compact Lie group G and n > 2. When G = U(1), then this action is just the action of GL(n,Z) on the n-torus R/Z, which is well known to b...
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ژورنال
عنوان ژورنال: GAFA Geometric And Functional Analysis
سال: 2007
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-007-0609-8