... Γ-algebra A and elements η ∈ KKΓi(C,A) and d ∈ KKΓi(A, C),such that βA⊗ B(resp. βA⊗ Bred) is injective and p∗Y(η ⊗Ad)=1Y, where pYisthe map Y → point and p∗Yis ... I(R).For x ∈ X and S ∈ ∆, put AS,x= {a ∈ US,d(x, a) ≤ d(x, US)+2δ } and CS,x= {c ∈ S, d(x, c) ≥ max{d(x, y) ,y∈ S }−2δ }.For x ∈ X, S∈ ∆ and r ∈ R+,wesetYS,x,r=y∈B(x,r)AS,y and ZS,x,r=y∈B(x,r)CS,y.Remark.Inorder ... X ,and S ∈ ∆ put rS,x= sup I(d(x, US)) − k.Proposition 6.9. For any x ∈ X and S ∈ ∆, there exist probabilitymeasures ψS,x and θS,xon X which depend Γ-equivariantly on the pair (S, x)and...