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arXiv · 1205.3016

Conjugate Dynamical Systems on C*-algebras

Kenneth R. Davidson·Evgenios T. A. Kakariadis
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Abstract

Let $(A, \alpha)$ and $(B, \beta)$ be C*-dynamical systems where $\alpha$ and $\beta$ are arbitrary *-endomorphisms. When $\alpha$ is injective or surjective, we show that the semicrossed products $A \times_\alpha \mathbb{Z}$ and $B \times_\beta \mathbb{Z}$ are isometrically isomorphic if and only if $(A, \alpha)$ and $(B, \beta)$ are outer conjugate. This conclusion also holds in various other cases as well.

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Kenneth R. Davidson, Evgenios T. A. Kakariadis. 2012-05-14. Conjugate Dynamical Systems on C*-algebras. https://arxiv.org/abs/1205.3016

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