Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591305 | Journal of Functional Analysis | 2010 | 13 Pages |
Abstract
We prove that if X1,…,Xn (n>1) are self-adjoints in a W∗-probability space with finite non-microstates free Fisher information, then the von Neumann algebra W∗(X1,…,Xn) they generate doesn't have property Γ (especially is not amenable). This is an analog of a well-known result of Voiculescu for microstates free entropy. We also prove factoriality under finite non-microstates entropy.
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