A large class of simple stably prqjectionless C*-algebras are shown to arise as crossed products of simple purely infinite C*-algebras by trace scaling one-parameter automorphism groups. The Elliott invariant is computed for this class.
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Kishimoto, A., & Kumjian, A. (1996). Simple stably projectionless C*-algebras arising as crossed products. Canadian Journal of Mathematics, 48(5), 980–996. https://doi.org/10.4153/CJM-1996-051-0