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The Universal Property of Inverse Semigroup Equivariant KK-theory
Bernhard Burgstaller 경북대학교 자연과학대학 수학과 2021 Kyungpook mathematical journal Vol.61 No.1
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 and locally compact, not necessarily Hausdorff groupoid equivariant setting.