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arXiv · 2109.01136

Classes in Zakharevich K-groups constructed from Quillen K-theory

Oliver Braunling·Michael Groechenig
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Abstract

We show that the K-groups K_{n}(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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BibTeXRIS

Oliver Braunling, Michael Groechenig. 2021-09-02. Classes in Zakharevich K-groups constructed from Quillen K-theory. https://arxiv.org/abs/2109.01136

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