The Universal Property of Inverse Semigroup Equivariant KK-theory
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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.
Abstract
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.
참고문헌 (12)
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