The Jiang-Su algebra does not always embed Academic Article uri icon

abstract

  • The Jiang-Su algebra, denoted by Z ([3]), occupies a central position in the struc- ture theory of separable amenable C∗-algebras. The property of absorbing the Jiang-Su algebra tensorially is a necessary, and, in considerable generality, suffi- cient condition for the confirmation of GA Elliott's K-theoretic rigidity conjec- ture for simple separable amenable C∗-algebras ([5], [7]). The uniqueness ques- tion for this algebra is therefore of great interest. M. Rørdam observed that if C is a class of unital separable C∗-algebras, and A ∈ C has the properties that (i) …

publication date

  • December 12, 2007