Translation invariant pure state on $\otimes_{\IZ}/!M_d(\IC)$ and Haag duality
arXiv:1309.7607
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 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 $\clb$.
To appear in the journal-Complex Analysis and Operator Theory. Some correction in introduction and typos. arXiv admin note: substantial text overlap with arXiv:0904.2104, arXiv:math-ph/0509049, arXiv:math-ph/0505035