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摘要
We prove that if X(1),..., X(n) (n > 1) arc self-adjoints in a W*-probability space with finite non-microstates free Fisher information, then the von Neumann algebra W*(X(1),..., X(n)) they generate doesn't have property Gamma (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.
- 出版日期2010-6-1
