Kaydedildi:
| Asıl Yazarlar: | , , , |
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| Materyal Türü: | Preprint |
| Baskı/Yayın Bilgisi: |
2024
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| Konular: | |
| Online Erişim: | https://arxiv.org/abs/2402.04449 |
| Etiketler: |
Etiketle
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İçindekiler:
- We give a characterisation of factoriality of the groupoid von Neumann algebra $L(\mathcal{G})$ associated to a discrete measured groupoid $(\mathcal{G},μ)$. We introduce the notion of groupoids with `infinite conjugacy classes' and show that this property together with ergodicity of the groupoid is equivalent to factoriality of $L(\mathcal{G})$.