June 19, 2024Open Access

Finite group actions on dg categories and Hochschild homology

Key Points

Key points are not available for this paper at this time.

Abstract

We prove a decomposition of the Hochschild homology groups of the equivariant dg category CG associated to a small dg category C with direct sums on which a finite group G acts. When the ground field is C this decomposition is related to a categorical action of Rep (G) on CG and the resulting action of the representation ring RC (G) on HH_ (CG).

Read Full Paperexternally

Demander à l'IA

Bookmark

View Full Paper

Cite This Study

Ville Nordström (Wed,) studied this question.

synapsesocial.com/papers/68e64297b6db6435875d44e0 https://doi.org/https://doi.org/10.48550/arxiv.2406.13866

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Spaces of homomorphisms, formality and Hochschild homology2025
2The Heisenberg algebra of a vector space and Hochschild homology2025
3Hochschild homology of reductive $p$-adic groups2024 · 1 citations
4dg-Hecke Duality and Tensor Products2024
5Universality of the Grothendieck-Witt group via the homotopy theory of dg-categories with duality2026

Demander à l'IA

Bookmark

View Full Paper