2020/02/05 by Lawson, Tyler
#Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2002.01997
We use a "twisted group algebra" method to constructively adjoin formal radicals √[n]α, for α a unit in a commutative ring spectrum or an invertible object in a symmetric monoidal ∞-category. We show that this construction is classified by maps from Eilenberg-Mac Lane objects to the unit spectrum, the Picard spectrum, and the Brauer spectrum.