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Franz, Matthias
 Symmetric products of equivariantly formal spaces Let $$X$$ be a CW complex with a continuous action of a topological group $$G$$. We show that if $$X$$ is equivariantly formal for singular cohomology with coefficients in some field $$\Bbbk$$, then so are all symmetric products of $$X$$ and in fact all its $$\Gamma$$-products. In particular, symmetric products of quasi-projective M-varieties are again M-varieties. This generalizes a result by Biswas and D'Mello about symmetric products of M-curves. We also discuss several related questions. Keywords:symmetric product, equivariant formality, maximal variety, Gamma productCategories:55N91, 55S15, 14P25
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