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arXiv · 1309.7607

Translation invariant pure state on $\otimes_{\IZ}/!M_d(\IC)$ and Haag duality

Anilesh Mohari
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Abstract

We prove Haag duality property of any translation invariant pure state on $\clb = \otimes_{\IZ}/!M_d(\IC), \;d \ge 2$, where $/!M_d(\IC)$ is the set of $d \times d$ dimensional matrices over the field of complex numbers. We also prove a necessary and sufficient condition for a translation invariant factor state to be pure on $\clb$.

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Anilesh Mohari. 2013-10-22. Translation invariant pure state on $\otimes_{\IZ}/!M_d(\IC)$ and Haag duality. https://arxiv.org/abs/1309.7607

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