Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification and realizations of type III factor representations of
  Cuntz-Krieger algebras associated with quasi-free states   We completely classify type III factor representations of Cuntz-Krieger
algebras associated with quasi-free states up to unitary equivalence.
Furthermore, we realize these representations on concrete Hilbert spaces
without using GNS construction. Free groups and their type ${\rm II}_{1}$
factor representations are used in these realizations.

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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-th