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Restriction maps in equivariant KK-theory
Published online by Cambridge University Press: 12 October 2011
Abstract
We extend McClure's results regarding restriction maps in equivariant K-theory to bivariant K-theory:
Let G be a compact Lie group and A and B be G-C*-algebras. Suppose that KKHn(A, B) is a finitely generated R(G)-module for every H ≤ G closed and n ∈ ℤ. Then, if KKF*(A, B) = 0 for all F ≤ Gfinite cyclic, then KKG*(A, B) = 0.
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