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Minimal Homeomorphisms and Approximate Conjugacy in Measure

Huaxin Lin
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Abstract

Let X be an infinite compact metric space with finite covering dimension. Let $\afhpa,\bt: X\to X$ be two minimal homeomorphisms. Suppose that the range of $K_0$-groups of both crossed product C*-algebras s are dense in the space of real affine continuous functions. We show that $\af$ and $\bt$ are approximately conjugate uniformly in measure if and only if they have affine homeomorphic invariant probability measure spaces.

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Huaxin Lin. 2005-04-26. Minimal Homeomorphisms and Approximate Conjugacy in Measure. https://arxiv.org/abs/math/0501262

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