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- W4299127002 abstract "Using probabilistic methods, Collins and Dykema proved that the free product of two sofic groups amalgamated over a monotileably amenable subgroup is sofic as well. We show that the restriction is unnecessary; the free product of two sofic groups amalgamated over an arbitrary amenable subgroup is sofic. We also prove a group theoretical analogue of a result of Kenley Jung. A finitely generated group is amenable if and only if it has only one sofic representation up to conjugacy equivalence." @default.
- W4299127002 created "2022-10-02" @default.
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- W4299127002 date "2010-10-17" @default.
- W4299127002 modified "2023-09-27" @default.
- W4299127002 title "Sofic representations of amenable groups" @default.
- W4299127002 doi "https://doi.org/10.48550/arxiv.1010.3424" @default.
- W4299127002 hasPublicationYear "2010" @default.
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