Conjecture Let $G$ be a locally compact topological group. If $G$ has a continuous faithful group action on an $n$-manifold, then $G$ is a Lie group.
Is this conjecture still unsolved? Is there any references to more details?
Conjecture Let $G$ be a locally compact topological group. If $G$ has a continuous faithful group action on an $n$-manifold, then $G$ is a Lie group.
Is this conjecture still unsolved? Is there any references to more details?
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