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- W2926818122 abstract "We study class $mathcal S$ for locally compact groups. We characterize locally compact groups in this class as groups having an amenable action on a boundary that is small at infinity, generalizing a theorem of Ozawa. Using this characterization, we provide new examples of groups in class $mathcal S$ and prove unique prime factorization results for group von Neumann algebras of products of locally compact groups in this class. We also prove that class $mathcal S$ is a measure equivalence invariant." @default.
- W2926818122 created "2019-04-11" @default.
- W2926818122 creator A5045365312 @default.
- W2926818122 date "2019-04-03" @default.
- W2926818122 modified "2023-09-27" @default.
- W2926818122 title "Ozawa's class $mathcal S$ for locally compact groups and unique prime factorization" @default.
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- W2926818122 doi "https://doi.org/10.48550/arxiv.1904.02090" @default.
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