Introduces the equivariant coarse groupoid G(X,Γ) and proves that the equivariant coarse Baum–Connes conjecture for (X,Γ) is equivalent to a groupoid Baum–Connes conjecture, with applications to the equivariant coarse Novikov conjecture.
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A groupoid approach to the equivariant coarse Baum--Connes conjecture
Introduces the equivariant coarse groupoid G(X,Γ) and proves that the equivariant coarse Baum–Connes conjecture for (X,Γ) is equivalent to a groupoid Baum–Connes conjecture, with applications to the equivariant coarse Novikov conjecture.