Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Independence Conditions for Nets of Local Algebras as Sheaf Conditions   We apply constructions from topos-theoretic approaches to quantum theory to
algebraic quantum field theory. Thus a net of operator algebras is reformulated
as a functor that maps regions of spacetime into a category of ringed topoi. We
ask whether this functor is a sheaf, a question which is related to the net
satisfying certain kinematical independence conditions. In addition, we
consider a C*-algebraic version of Nuiten's recent sheaf condition, and
demonstrate how it relates to C*-independence of the underlying net of operator
algebras.

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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: nucl-th