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The multiplicative structure on the graded slices of Hermitian \(K\)-theory and Witt-theory. (English) Zbl 1352.14013
In [Geom. Topol. 20, No. 2, 1157–1212 (2016; Zbl 1416.19001)], the authors computed all slices \(s_q E\) (\(q \in \mathbb Z\)) for the motivic spectra \(E\) representing hermitian \(K\)-theory and Witt-theory, respectively. The present short addendum completes these calculations by describing the respective graded slices \(s_* E := \bigoplus_q s_q E\) as graded ring spectra. As a corollary, the authors provide explicit descriptions of the first differential in the associated slice spectral sequences.

MSC:
14F42 Motivic cohomology; motivic homotopy theory
19G38 Hermitian \(K\)-theory, relations with \(K\)-theory of rings
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