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Cross‐ratios on CAT(0) cube complexes and marked length‐spectrum rigidity
We show that group actions on irreducible CAT ( 0 ) cube complexes with no free faces are uniquely determined by their ℓ 1 length function. Actions are allowed to be non-proper and non-cocompact, as long as they are ℓ 1 -minimal and have no finite orbit in the visual …