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arXiv · 2506.06503

Equivariant periodic cyclic homology for ample groupoids

Francesco Pagliuca·Christian Voigt
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Abstract

We define and study bivariant equivariant periodic cyclic homology for actions of ample groupoids. In analogy to the group case, we show that the theory satisfies homotopy invariance, stability, and excision in both variables. We also prove an analogue of the Green-Julg theorem for actions of proper groupoids.

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Francesco Pagliuca, Christian Voigt. 2025-06-06. Equivariant periodic cyclic homology for ample groupoids. https://doi.org/10.2140/akt.2026.11.489

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