Abstract
In contrast to some well-known discrete groups, countably solvable connected pro-Lie groups are u-amenable in the sense of de la Harpe’s 1973 paper.
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The research accumulated in Theorem 1 was supported by the Federal State Institution “Federal Scientific Center “Research Institute for System Studies” of the Russian Academy of Sciences (FSE TNTS NIISI RAS); the research accumulated in Theorem 2 was supported by the Russian Science Foundation, and the research accumulated in Theorem 3 and Remarks 1 and 2 was supported by the Russian Foundation for Basic Research.
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Shtern, A.I. Countably Solvable Connected Pro-Lie Groups Are u-Amenable. Russ. J. Math. Phys. 25, 113–115 (2018). https://doi.org/10.1134/S1061920818010107
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DOI: https://doi.org/10.1134/S1061920818010107