paper

An algebraic model for rational excisive functors

arXiv:2412.12281

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.

v1: comments welcome! v2: Accepted version