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math.AT2024
An algebraic model for rational excisive functors
David Barnes, Magdalena Kędziorek, Niall Taggart
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…
math.AT2024
Profinite equivariant spectra and their tensor-triangular geometry
Scott Balchin, David Barnes, Tobias Barthel
We study the tensor-triangular geometry of the category of equivariant -spectra for a profinite group, . Our starting point is the construction of a ``continu…