2000 character limit reached
Translation invariant pure state on $\otimes_{\IZ}/!M_d(\IC)$ and Haag duality (1309.7607v2)
Published 29 Sep 2013 in math.OA, math-ph, and math.MP
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 $\clb$.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.