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- W1882804366 abstract "Let M be a tracial von Neumann algebra and A be a weakly dense unital C*-subalgebra of M. We say that a set X is a W*-generating set for M if the von Neumann algebra generated by X is M and that X is a C*-generating set for A if the unital C*-algebra generated by X is A. For any finite W*-generating set X for M we show that $delta_0(X) leq sup {delta_0(Y): Y is a finite C*-generating set for A}$ where $delta_0$ denotes the microstates free entropy dimension. It follows that if $sup {delta_0(Y): Y is a finite C*-generating set for C*_{red}(mathbb F_2)} < infty$, then the free group factors are all nonisomorphic." @default.
- W1882804366 created "2016-06-24" @default.
- W1882804366 creator A5069338282 @default.
- W1882804366 date "2006-11-17" @default.
- W1882804366 modified "2023-09-27" @default.
- W1882804366 title "A propagation property of free entropy dimension" @default.
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