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.
"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