Equivariant periodic cyclic homology for ample groupoids
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912912374759424 |
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| author | Pagliuca, Francesco Voigt, Christian |
| author_facet | Pagliuca, Francesco Voigt, Christian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06503 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivariant periodic cyclic homology for ample groupoids Pagliuca, Francesco Voigt, Christian K-Theory and Homology 19D55, 55N91 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. |
| title | Equivariant periodic cyclic homology for ample groupoids |
| topic | K-Theory and Homology 19D55, 55N91 |
| url | https://arxiv.org/abs/2506.06503 |