MF-traces and a Lower Bound for the Topological Free Entropy Dimension in Unital C*-algebras
classification
🧮 math.OA
keywords
deltadimensionentropyfreelowerobtaintopologicalalgebras
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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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