The Universal Property of Equivariant Kk-theory

  title={The Universal Property of Equivariant Kk-theory},
  author={Klaus Thomsen},
Let G be a locally compact, σ-compact group. We prove that the equivariant KK-theory, KK, is the universal category for functors from G-algebras to abelian groups which are stable, homotopy invariant and split-exact. This is a generalization of Higsons characterisation of (non-equivariant) KK-theory. 

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