2 00 5 Minimal Homeomorphisms and Approximate Conjugacy in Measure ∗
نویسنده
چکیده
Let X be an infinite compact metric space with finite covering dimension. Let α, β : X → X be two minimal homeomorphisms. Suppose that the range of K0-groups of both crossed products are dense in the space of real affine continuous functions. Suppose also that both α and β have countably many extremal invariant measures. We show that α and β are approximately conjugate uniformly in measure if and only if they have affine homeomorphic invariant probability measure spaces.
منابع مشابه
ar X iv : m at h / 05 01 26 2 v 3 [ m at h . O A ] 2 6 A pr 2 00 5 Minimal Homeomorphisms and Approximate Conjugacy in Measure ∗
Let X be an infinite compact metric space with finite covering dimension. Let α, β : X → X be two minimal homeomorphisms. Suppose that the range of K0-groups of both crossed products are dense in the space of real affine continuous functions. We show that α and β are approximately conjugate uniformly in measure if and only if they have affine homeomorphic invariant probability measure spaces.
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