The C*-algebra of a Minimal Homeomorphism of Zero Mean Dimension
نویسنده
چکیده
Let X be an infinite compact metrizable space, and let σ : X → X be a minimal homeomorphism. Suppose that (X,σ) has zero mean topological dimension. The associated C*algebra A = C(X) oσ Z is shown to absorb the Jiang-Su algebra Z tensorially, i.e., A ∼= A⊗ Z. This implies that A is classifiable when (X,σ) is uniquely ergodic. Moreover, without any assumption on the mean dimension, it is shown that A ⊗ A always absorbs the Jiang-Su algebra.
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