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Nuclear dimension of simple stably projectionless C*-algebras (1901.11441v4)
Published 31 Jan 2019 in math.OA
Abstract: We prove that Z-stable, simple, separable, nuclear, non-unital C*-algebras have nuclear dimension at most 1. This completes the equivalence between finite nuclear dimension and Z-stability for simple, separable, nuclear, non-elementary C*-algebras.