Finite free entropy and free group factors
We show the existence of noncommutative random variables with finite free entropy but which do not generate a free group factor. In particular, this gives an example of variables X1, …, Xn such that δ(X1, …, Xn) = n while W*(X1, …, Xn) ≇ L(Fn).
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| Veröffentlicht in: | International Mathematics Research Notices 2005-01, Vol.2005 (28), p.1709-1715 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We show the existence of noncommutative random variables with finite free entropy but which do not generate a free group factor. In particular, this gives an example of variables X1, …, Xn such that δ(X1, …, Xn) = n while W*(X1, …, Xn) ≇ L(Fn). |
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| ISSN: | 1073-7928 1687-1197 1687-0247 |
| DOI: | 10.1155/IMRN.2005.1709 |