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Factoriality of twisted locally compact group von Neumann algebras
Published 20 Dec 2024 in math.OA and math.GR | (2412.15733v3)
Abstract: In this short note, we construct an exotic example of a locally compact group $G$ with a Borel $2$-cocycle $\omega$ such that the non-twisted group von Neumann algebra $L(G)$ is a factor, while the twisted group von Neumann algebra $L_\omega(G)$ has a diffuse center.
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