Let $X$ be a compact metric space and $/alpha: X/to X$ be a minimal homeomorphism.  We study the minimal dynamical systems $(X, /alpha)$ via C*-algebra theory.  Let $/beta$ be another minimal homeomorphism on $X.$ We consider the problem when two crossed products are isomorphic as C*-algebras.  By introducing the notion of "approximate conjugacy", related to the Gieodano-Putnam-Skau theory, we also study the problem when two such minimal systems are approximate conjugate.

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