The circle-action conjecture for higher-rank lattices

Let Γ\Gamma be a higher-rank lattice acting continuously on the circle S1S^1. The circle-action conjecture. Every such action should be finite. This is part of the low-dimensional action problem for higher-rank lattices; related cases are known, but the stated general conjecture remains open.

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Primary source

David Fisher, “Groups acting on manifolds: around the Zimmer program”, arXiv:0809.4849 (2008).

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