Topological rigidity of automorphism actions on nilmanifolds
Abstract
Suppose X1, X2 are nilmanifolds and , σ are automorphism actions of a discrete group on X1 and X2 respectively. We show that if (X1,) and (X2, σ) satisfy certain additional conditions then every -equivariant continuous map from (X1,) to (X2,σ) is an affine map.
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