MF-traces and a Lower Bound for the Topological Free Entropy Dimension in Unital C*-algebras

Details MF-traces and a Lower Bound for the Topological Free Entropy Dimension in Unital C*-algebras MF-traces and a Lower Bound for the Topological Free Entropy Dimension in Unital C*-algebras

2011-09-04

arxiv.org/abs/1109.0673v1

Mathematics

Operator Algebras

Scientific paper

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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