I think that the answer is "yes" for free simplicial actions over simplicial complexes: a non trivial element g of the group G must map a simplicial simplex to a different one, because of brower theorem and the free hypothesis. From this the result follows easily I guess.
2026-03-29 04:10:59.1774757459
is a free cellular action of a discrete group over a cellular complex always properly discontinuous?
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