Equivariant periodic cyclic homology for ample groupoids
K-Theory and Homology
2026-02-20 v2
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.
Cite
@article{arxiv.2506.06503,
title = {Equivariant periodic cyclic homology for ample groupoids},
author = {Francesco Pagliuca and Christian Voigt},
journal= {arXiv preprint arXiv:2506.06503},
year = {2026}
}
Comments
44 pages. Two errors (in the proof of Theorem 5.8 and Theorem 6.1) fixed, typos corrected