The Rohlin property for automorphisms of the Jiang–Su algebra

For projectionless C∗-algebras absorbing the Jiang–Su algebra tensorially, we study a kind of the Rohlin property for automorphisms. We show that the crossed products obtained by automorphisms with this Rohlin property also absorb the Jiang–Su algebra tensorially under a mild technical condition on the C∗- algebras. In particular, for the Jiang–Su algebra we show the uniqueness up to outer conjugacy of the automorphism with this Rohlin property. © 2010 Elsevier Inc. All rights reserved