Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the fixed point spaces of some completely positive maps   In this paper we generalize the results shown by Das and Peterson. Let $M$ be
a ${\rm II}_1$-factor acting on $L^2(M)$. We consider certain unital normal
completely positive maps on $B(L^2(M))$ which are identity on $M$. We
investigate their fixed point spaces and obtain a rigidity result. As an
application, we show some results of subfactors.

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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th