Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the weak relative Dixmier property   We show that every inclusion of von Neumann algebras with a faithful normal
conditional expectation has the weak relative Dixmier property. This answers a
question of Popa \cite{Po99}. The proof uses an improvement of Ellis' lemma for
compact convex semigroup.

10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
24
The categories of this paper are: dg-ga