Atiyah-Segal completion for the Hermitian K-theory of Symplectic Groups

Jens Hornbostel, Herman Rohrbach, Marcus Zibrowius

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 f…