Article ID Journal Published Year Pages File Type
4591191 Journal of Functional Analysis 2010 24 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory