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arxiv: math/0412273 · v1 · submitted 2004-12-14 · 🧮 math.OA

The Microstates Free Entropy Dimension of any DT--operator is 2

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keywords dimensionentropyfreemicrostatesarbitraryborelcompactcomplex
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Suppose that \mu is an arbitrary Borel measure on the complex plane with compact support and take c > 0. If Z is a DT(\mu,c)-operator as defined by Dykema and Haagerup, then the microstates free entropy dimension of Z is 2

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