Abstract
Let be an infinite metrizable compact space, and let be a minimal homeomorphism. Suppose that has zero mean topological dimension. The associated C∗-algebra is shown to absorb the Jiang–Su algebra tensorially; that is, . This implies that is classifiable when is uniquely ergodic. Moreover, without any assumption on the mean dimension, it is shown that always absorbs the Jiang–Su algebra.
Citation
George A. Elliott. Zhuang Niu. "The C∗-algebra of a minimal homeomorphism of zero mean dimension." Duke Math. J. 166 (18) 3569 - 3594, 1 December 2017. https://doi.org/10.1215/00127094-2017-0033
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