Higher Structures, Vol. 10, No. 1, pp. 273-291, 2026
An algebraic model for rational excisive functors
David Barnes, Magdalena Kędziorek, Niall Taggart
Received March 14th 2025. Published online June 19th 2026.
Abstract: We provide a new proof of the rational splitting of excisive endofunctors of spectra as a product of their homogeneous layers independent of rational Tate vanishing. We utilise the analogy between endofunctors of spectra and equivariant stable homotopy theory and as a consequence, we obtain an algebraic model for rational excisive functors.
