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Some Remarks on Units in Grothendieck-Witt Rings (1612.04728v3)
Published 14 Dec 2016 in math.KT and math.AG
Abstract: We establish new structures on Grothendieck-Witt rings, including a GW(k)-module structure on the unit group GW(k)x and a presentation of \ul{GW}x as an infinite Gm-loop sheaf. Even though our constructions are motivated by speculations in stable A1-homotopy theory, our arguments are purely algebraic.