Weak amenability of Lie groups made discrete
classification
🧮 math.FA
math.GRmath.OA
keywords
amenableweaklyconnectedgroupgroupsdiscreteamenabilitycharacterization
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We completely characterize connected Lie groups all of whose countable subgroups are weakly amenable. We also provide a characterization of connected semisimple Lie groups that are weakly amenable. Finally, we show that a connected Lie group is weakly amenable if the group is weakly amenable as a discrete group.
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