We construct an exotic example of a locally compact group $\mathcal{G}$ with a Borel $2$-cocycle $\omega $ such that the non-twisted group von Neumann algebra $L(\mathcal{G})$ is a factor, while the twisted group von Neumann algebra $L_\omega (\mathcal{G})$ has a diffuse center.
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2025-07-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.769/ |
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