Decomposition Rank of Subhomogeneous C*‐Algebras

We analyze the decomposition rank (a notion of covering dimension for nuclear C*‐algebras introduced by E. Kirchberg and the author) of subhomogeneous C*‐algebras. In particular, we show that a subhomogeneous C*‐algebra has decomposition rank n if and only if it is recursive subhomogeneous of topological dimension n, and that n is determined by the primitive ideal space.