The paper defines equivariant bivariant periodic cyclic homology for ample groupoids and proves homotopy invariance, stability, excision, and a Green-Julg isomorphism.
Algebras associated with group actions and their homology.Brown Uni- versity preprint, 1986
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Equivariant periodic cyclic homology for ample groupoids
The paper defines equivariant bivariant periodic cyclic homology for ample groupoids and proves homotopy invariance, stability, excision, and a Green-Julg isomorphism.