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arXiv · 1405.1607

A Green--Julg isomorphism for inverse semigroups

Bernhard Burgstaller
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Abstract

For every finite unital inverse semigroup $S$ and $S$-$C^*$-algebra $A$ we establish an isomorphism between $KK^S(\mathbb{C},A)$ and $K(A \rtimes S)$. This extends the classical Green--Julg isomorphism from finite groups to finite inverse semigroups.

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Bernhard Burgstaller. 2014-05-07. A Green--Julg isomorphism for inverse semigroups. https://arxiv.org/abs/1405.1607

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