Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Haag Duality for Pure States of Quantum Spin Chain   We consider quantum spin chains and their translationally invariant pure
states. We prove Haag duality for quasilocal observables localized in
semi-infinite intervals when the von Neumann algebras generated by observables
localized in these intervals are not type I.

34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat