MAXIMAL AMENABILITY OF THE GENERATOR SUBALGEBRA IN q-GAUSSIAN VON NEUMANN ALGEBRAS

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
Hauptverfasser: PAREKH, SANDEEPAN, SHIMADA, KOICHI, WEN, CHENXU
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SHIMADA, KOICHI
WEN, CHENXU
description 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 | q | < 1 9 .
doi_str_mv 10.7900/jot.2017jun28.2167
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