MAXIMAL AMENABILITY OF THE GENERATOR SUBALGEBRA IN q-GAUSSIAN VON NEUMANN ALGEBRAS
In this article, we develop a structural theorem for the q-Gaussian algebras, namely, we construct a Riesz basis for the q-Fock space in the spirit of Rădulescu. As an application, we show that the generator subalgebra is maximal amenable inside the q-Gaussian von Neumann algebra for any real number...
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| Veröffentlicht in: | Journal of operator theory 2018-06, Vol.80 (1), p.125-152 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this article, we develop a structural theorem for the q-Gaussian algebras, namely, we construct a Riesz basis for the q-Fock space in the spirit of Rădulescu. As an application, we show that the generator subalgebra is maximal amenable inside the q-Gaussian von Neumann algebra for any real number q with
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| ISSN: | 0379-4024 1841-7744 |
| DOI: | 10.7900/jot.2017jun28.2167 |