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Abstract
We use descent theoretic methods to solve the homotopy limit problem for Hermitian
K -theory
over quasicompact and quasiseparated base schemes. As another application of these
descent theoretic methods, we compute the cellular Picard group of 2-complete Hermitian
K -theory
over
Spec ( ℂ ) ,
showing that the only invertible cellular spectra are suspensions of the tensor
unit.
Keywords
homotopy limit, Hermitian $K\mkern-2mu$-theory, Picard
group, motivic homotopy
Mathematical Subject Classification
Primary: 14F42
Secondary: 19G38, 55P42
Milestones
Received: 4 June 2020
Revised: 17 August 2020
Accepted: 17 September 2020
Published: 8 July 2021