MF-traces and a Lower Bound for the Topological Free Entropy Dimension in Unital C*-algebras
Abstract
We continue previous work on Voiculescu's topological free entropy dimension δtop. We introduce the notions of MF-trace, MF-ideal, and MF-nuclearity and use these concepts to obtain upper and lower bounds for δtop, and in many cases we obtain an exact formula for δtop. We also discuss semicontinuity properties of δtop.
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