Semicrossed products of simple C*-algebras

Details Semicrossed products of simple C*-algebras Semicrossed products of simple C*-algebras

2007-11-29

arxiv.org/abs/0711.4821v2

Math. Ann. 342 (2008), 515-525

Mathematics

Operator Algebras

12 pages, accepted for publication in Math. Ann

Scientific paper

Let $(\A, \alpha)$ and $(\B, \beta)$ be C*-dynamical systems and assume that
$\A$ is a separable simple C*-algebra and that $\alpha$ and $\beta$ are
*-automorphisms. Then the semicrossed products $\A \times_{\alpha} \bbZ^{+}$
and $\B \times_{\beta} \bbZ^{+}$ are isometrically isomorphic if and only if
the dynamical systems $(\A, \alpha)$ and $(\B, \beta)$ are outer conjugate.

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