nLab G-stability

Definition

Definition

A G-∞-category $\mathcal{C}$ is G-stable if

1. $\mathcal{C}$ is G-semiadditive, and

2. For all $H \subset G$, $\mathcal{C}_H$ is a stable ∞-category.

Related concepts

• Mackey functor

• equivariant symmetric monoidal category

• G-semiadditivity

References

• Denis Nardin, Parametrized higher category theory and higher algebra: Exposé IV - Stability with respect to an orbital ∞-category, (arXiv:1608.07704)

• Bastiaan Cnossen, Tobias Lenz, Sil Linskens, Parametrized stability and the universal property of global spectra, (arXiv: arXiv:2301.08240)