“…Classification arguments, on the one hand, show that for a simple algebra in AC, if it is an inductive limit of building blocks (in C) with bounded topological dimension (or even "slow dimension growth"), or if it is Z-stable, then it is an inductive limit of algebras in C with topological dimension at most three [4,6,9]. (Note that one can show, without classification, that slow dimension growth implies Z-stability; see [11,12,16], so Zstability should be viewed as the weakest of these hypotheses.)…”