Abstract. If X is a geodesic metric space and 𝑥₁, 𝑥₂, 𝑥₃ ∈ 𝑋, a geodesic triangle 𝑇 = {𝑥₁, 𝑥₂, 𝑥₃} is the union of the three geodesics [𝑥₁𝑥₂], [𝑥₂𝑥₃] and [𝑥₃𝑥₁] in 𝑋. The space 𝑋 is ...

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Abstract We prove that λ𝑔 ↦ 𝑒⁻𝑡|𝑔|𝑟 λ𝑔 defines a multiplier on the von Neuman algebra of hyperbolic groups with a complete bound ≃ 𝑟, for any 0 < 𝑡 < ∞, 1 < 𝑟 < ∞. In the proof we observe ...