The universal property of inverse semigroup equivariant $KK$-theory
  Higson proved that every homotopy invariant, stable and split exact functor from the category of $C^*$-algebras to an additive category factors through Kasparov's $KK$-theory. By adapting a group equivariant generalization of this result by Thomsen, we generalize Higson's result to the inverse semigroup equivariant setting. 
Bernhard Burgstaller
math.OA