On the isomorphism class of $q$-Gaussian W$^\ast $-algebras for infinite variables
Let $M_q(H_{\mathbb{R}})$ be the $q$-Gaussian von Neumann algebra associated with a separable infinite dimensional real Hilbert space $H_{\mathbb{R}}$ where $-1 < q < 1$. We show that $M_q(H_{\mathbb{R}}) \lnot \simeq M_0(H_{\mathbb{R}})$ for $-1 < q \ne 0 < 1$. The C$^\ast $-algebraic...
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2023-12-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.489/ |
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