Classes in Zakharevich K-groups constructed from Quillen K-theory
Abstract
We show that the K-groups Kn(O) for O the integers or an order in a CM field and n>0 appear as direct summands of the homotopy groups of various localisations of Zakharevich's K-theory space. After rationalisation and going to the 1-connective cover, this even becomes a retract of spaces. As an application, we provide the first construction of classes of infinite order in the higher Zakharevich K-groups.
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