CrossRef
Open Access
2025
Finite group actions on dg categories and Hochschild homology
Ville Nordström
Abstrak
Abstract Let G be a finite group whose order is not divisible by the characteristic of the ground field $\mathbb {F}$ . We prove a decomposition of the Hochschild homology groups of the equivariant dg category $\mathscr {C}^G$ associated with the action of G on a small dg category $\mathscr {C}$ which admits finite direct sums. When, in addition, the ground field $\mathbb {F}$ is algebraically closed this decomposition is related to a categorical action of $\text {Rep}(G)$ on $\mathscr {C}^G$ and the resulting action of the representation ring $R_{\mathbb {F}}(G)$ on $HH_\bullet (\mathscr {C}^G)$ .
Penulis (1)
V
Ville Nordström
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
- Bahasa
- en
- Sumber Database
- CrossRef
- DOI
- 10.4153/s000843952500030x
- Akses
- Open Access ✓