773 research outputs found
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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