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A Green--Julg isomorphism for inverse semigroups

Published 7 May 2014 in math.OA | (1405.1607v1)

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

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