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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 $(A, α)$ and $(B, β)$ be C*-dynamical systems where $α$ and $β$ are arbitrary *-endomorphisms. When $α$ is injective or surjective, we show that the semicrossed products $A \times_α\mathbb{Z}$ and $B \times_β\mathbb{Z}$ are isometrically isomorphic if and only if $(A, α)$ and $(B, β)$ 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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