The eta invariant and the “twisted” connective $K$-theory of the classifying space for cyclic 2-groups

摘要

Let $ell=2^uge2$. We use the eta invariant to study the “twisted” connective real $K$-theory groups $ko_m(Bmathbb{Z}_ell,xi_1)$ of the classifying space $Bmathbb{Z}_ell$ for the cyclic group $mathbb{Z}_ell$.