Semicrossed products of simple C*-algebras
Semicrossed products of simple C*-algebras
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简单 C* 代数的半叉积
DOI：
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发表时间：
2007
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影响因子：
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通讯作者：
E. Katsoulis
中科院分区：
文献类型：
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作者：
K. Davidson;E. Katsoulis
Let $${(mathcal{A}, alpha)}$$ and $${(mathcal{B}, eta)}$$ be C*-dynamical systems and assume that $${mathcal{A}}$$ is a separable simple C*-algebra and that α and β are *-automorphisms. Then the semicrossed products $${mathcal{A} imes_{alpha} mathbb{Z}^{+}}$$ and $${mathcal{B} imes_{eta}mathbb{Z}^{+}}$$ are isometrically isomorphic if and only if the dynamical systems $${(mathcal{A}, alpha)}$$ and $${(mathcal{B}, eta)}$$ are outer conjugate.
Let $${(mathcal{A}, alpha)}$$ and $${(mathcal{B}, eta)}$$ be C*-dynamical systems and assume that $${mathcal{A}}$$ is a separable simple C*-algebra and that α and β are *-automorphisms. Then the semicrossed products $${mathcal{A} imes_{alpha} mathbb{Z}^{+}}$$ and $${mathcal{B} imes_{eta}mathbb{Z}^{+}}$$ are isometrically isomorphic if and only if the dynamical systems $${(mathcal{A}, alpha)}$$ and $${(mathcal{B}, eta)}$$ are outer conjugate.