Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: MF-traces and a Lower Bound for the Topological Free Entropy Dimension
  in Unital C*-algebras   We continue previous work on Voiculescu's topological free entropy dimension
{\delta}_{top}. We introduce the notions of MF-trace, MF-ideal, and
MF-nuclearity and use these concepts to obtain upper and lower bounds for
{\delta}_{top}, and in many cases we obtain an exact formula for
{\delta}_{top}. We also discuss semicontinuity properties of {\delta}_{top}.

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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: nlin