Endomorphisms of Z-absorbing C*-algebras without conditional expectations
Abstract
We construct an endomorphism of the Jiang-Su algebra Z which does not admit a conditional expectation. This answers a question in the testamentary homework by E. Kirchberg. As an application, it is shown that any unital separable nuclear Z-absorbing C*-algebra is non-transportable in the Cuntz algebra O2.
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