Graded Tambara Functors

Abstract

We define the notion of an $\mathcal{R}\mathcal{O}(G)$-graded Tambara functor and prove that any $G$-spectrum with norm multiplication gives rise to such an $\mathcal{R}\mathcal{O}(G)$-graded Tambara functor.

25 pages; elaborated on the description of graded Tambara functors and clarified some of the category theory. Added more detailed references

References in corpus (1)

• Tambara functors

Cited by in corpus (3)

• Multiplicativity of the idempotent splittings of the Burnside ring and the G-sphere spectrum
• Idempotent characters and equivariantly multiplicative splittings of K-theory
• Bi-incomplete Tambara functors as $\mathcal{O}$-commutative monoids