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An algebraic model for rational excisive functors

Published 16 Dec 2024 in math.AT | (2412.12281v1)

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.

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