The Rohlin property for automorphisms of the Jiang-Su algebra

Details The Rohlin property for automorphisms of the Jiang-Su algebra The Rohlin property for automorphisms of the Jiang-Su algebra

2009-08-02

arxiv.org/abs/0908.0135v1

Mathematics

Operator Algebras

23 pages

Scientific paper

For projectionless C*-algebras absorbing the Jiang-Su algebra tensorially, we study a kind of the Rohlin property for autmorphisms. 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.

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