On the factoriality of q-deformed Araki-Woods von Neumann algebras
| Autor: | Panchugopal Bikram, Kunal Mukherjee, Éric Ricard, Simeng Wang |
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| Rok vydání: | 2022 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2203.06366 |
| Popis: | The $q$-deformed Araki-Woods von Neumann algebras $\Gamma_q(\mathcal{H}_\mathbb{R}, U_t)^{\prime \prime}$ are factors for all $q\in (-1,1)$ whenever $dim(\mathcal{H}_\mathbb{R})\geq 3$. When $dim(\mathcal{H}_\mathbb{R})=2$ they are factors as well for all $q$ so long as the parameter defining $(U_t)$ is `small' or $1$ $($trivial$)$ as the case may be. Comment: 25 pages |
| Databáze: | OpenAIRE |
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