Atiyah-Segal completion for the Hermitian K-theory of Symplectic Groups (2310.10824v2)

Published 16 Oct 2023 in math.KT, math.AG, math.AT, and math.RT

Abstract: We study equivariant Hermitian K-theory for representations of symplectic groups, especially $\mathrm{SL}_2$. The results are used to establish an Atiyah-Segal completion theorem for Hermitian $K$-theory and symplectic groups.