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arXiv · 1109.0673

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

Don Hadwin·Qihui Li·Weihua Li·Junhao Shen
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Abstract

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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Don Hadwin, Qihui Li, Weihua Li, Junhao Shen. 2011-09-04. MF-traces and a Lower Bound for the Topological Free Entropy Dimension in Unital C*-algebras. https://arxiv.org/abs/1109.0673

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