Equivariant periodic cyclic homology for ample groupoids
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.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Operator Algebra Research
Geometric and Algebraic Topology
Publication details
- Journal / source
- Annals of K-Theory
- Volume
- 11
- Issue
- 3
- Pages
- 489–542
- Publication date
- 24 June 2026
- Language
- EN