Motivated by the Benjamini-Schramm non-unicity of percolation conjecture we study the following question. For a given finitely generated non-amenable group Γ, does there exist a generating set S such ...

Let 𝛼₀ ∈ ℂ \ {0}, 𝐴 and 𝐵 be Banach function algebras. Also, let 𝜌₁ : Ω₁ → 𝐴, 𝜌₂ : Ω₂ → 𝐴, 𝜏₁ : Ω₁ → 𝐵 and 𝜏₂ : Ω₂ → 𝐵 be surjections such that ‖ ρ 1 ( ω 1 ) ρ 2 ( ω 2 )+ α 0 ‖ ∞ ...