Abstract
Let Mq(HR) be the q-Gaussian von Neumann algebra associated with a separable infinite dimensional real Hilbert space HR where −1 < q < 1. We show that Mq(HR) ≠ M0(HR) for −1 < q ≠ 0 < 1. The C∗-algebraic counterpart of this result was obtained recently in [1]. Using ideas of Ozawa we show that this non-isomorphism result also holds on the level of von Neumann algebras.
Original language | English |
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Pages (from-to) | 1711-1716 |
Number of pages | 6 |
Journal | Comptes Rendus Mathematique |
Volume | 361 |
Issue number | G11 |
DOIs | |
Publication status | Published - 2023 |
Keywords
- Akemann–Ostrand property
- q-Gaussian von Neumann algebras