Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factors generated by $C^*$-finitely correlated states   We present several equivalent conditions for $C^*$-finitely correlated states
defined on the UHF algebras to be factor states and consider the types of
factors generated by them. Subfactors generated by generalized quantum Markov
chains defined on the gauge-invariant parts of the UHF algebras are also
discussed.

32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics