Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditions for Primitivity of unital amalgamated full free products of
  finite dimensional C*-algebras   We consider amalgamated unital full free products of the form $A_1*_DA_2$,
where $A_1, A_2$ and $D$ are finite dimensional C*-algebras and there are
faithful traces on $A_1$ and $A_2$ whose restrictions to $D$ agree. We provide
several conditions on the matrices of partial multiplicities of the inclusions
$D\hookrightarrow A_1$ and $D\hookrightarrow A_2$ that guarantee that the
C*-algebra $A_1*_DA_2$ is primitive. If the ranks of the matrices of partial
multiplicities are one, we prove that the algebra $A_1*_DA_2$ is primitive if
and only if it has a trivial center.

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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat