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Hermitian K-theory of the integers

A. J. Berrick·M. Karoubi
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Abstract

The 2-primary torsion of the higher algebraic K-theory of the integers has been computed by Rognes and Weibel. In this paper we prove analogous results for the Hermitian K-theory of the integers with 2 inverted (denoted by Z'). We also prove in this case the analog of the Lichtenbaum conjecture for the hermitian K-theory of Z' : the homotopy fixed point set of a suitable Z/2 action on the classifying space of the algebraic K-theory of Z' is the hermitian K-theory of Z' after 2-adic completion.

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A. J. Berrick, M. Karoubi. 2005-09-18. Hermitian K-theory of the integers. https://arxiv.org/abs/math/0509404

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