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arXiv · 1610.04118

A remark on orbital free entropy

Yoshimichi Ueda
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Abstract

A lower estimate of the orbital free entropy $χ_\mathrm{orb}$ under unitary conjugation is proved, and it together with Voiculescu's observation shows that the conjectural exact formula relating $χ_\mathrm{orb}$ to the free entropy $χ$ breaks in general in contrast to the case when given random multi-variables are all hyperfinite.

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Yoshimichi Ueda. 2018-02-15. A remark on orbital free entropy. https://doi.org/10.1007/s00013-017-1035-2

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