2025/08/15 by Lenz, Tobias
#18B10 (Secondary) #19D23 #55P91 (Primary) #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT)
paper · doi:10.48550/arxiv.2508.11525
We show that the spectral Mackey functors associated to the equivariant algebraic K-theory spectra of Guillou-May and Merling (originally constructed using pointset models) can be described purely ∞-categorically in terms of the monoidal Borel construction of Barwick-Glasman-Shah and Hilman. We moreover show how Pützstück's global version of the Borel construction provides an analogous description of the global spectral Mackey functors arising from Schwede's global algebraic K-theory spectra. Our arguments crucially rely on techniques from parametrized higher category theory as well as on structural results on global and equivariant K-theory to avoid any explicit computations.