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arXiv · 1405.1613

The universal property of inverse semigroup equivariant $KK$-theory

Bernhard Burgstaller
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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 equivariant setting.

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Bernhard Burgstaller. 2014-05-07. The universal property of inverse semigroup equivariant $KK$-theory. https://arxiv.org/abs/1405.1613

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