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arXiv · 1912.03275

Aspects of equivariant $KK$-theory in its generators and relations picture

Bernhard Burgstaller
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Abstract

We give a new proof of the universal property of $KK^G$-theory with respect to stability, homotopy invariance and split-exactness for $G$ a locally compact group, or a locally compact (not necessarily Hausdorff) groupoid, or a countable inverse semigroup which is relatively short and conceptual. Morphisms in the generators and relations picture of $KK^G$-theory are brought to a particular simple form.

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Bernhard Burgstaller. 2019-12-06. Aspects of equivariant $KK$-theory in its generators and relations picture. https://arxiv.org/abs/1912.03275

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