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- W1868533241 abstract "We give a general estimate for the nonmicrostates free entropy dimension δ*(X 1 ,…X n ). If X 1 ,…X n generate a diffuse von Neumann algebra, we prove that δ*X 1 ,…X n ≥ 1. In the case that X 1 ,…,X n are q-semicircular variables as introduced by Bozejko and Speicher and q 2 n 1. We also show that for |q|<2−1, the von Neumann algebras generated by a finite family of q-Gaussian random variables satisfy a condition of Ozawa and are therefore solid: the relative commutant of any diffuse subalgebra must be hyperfinite. In particular, when these algebras are factors, they are prime and do not have property Γ." @default.
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- W1868533241 date "2004-01-01" @default.
- W1868533241 modified "2023-09-26" @default.
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- W1868533241 doi "https://doi.org/10.1155/s1073792804140476" @default.
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