The eta invariant and the real connective K-theory of the classifying space for quaternion groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64015We express the real connective $K$ theory groups of the quaternion QL group of order $2^j\ge8$ in terms of the representation theory of by showing $ko_{4k-1}(BQL)=KSp(S^{4k+3}/τQL)$ where $tau$ is any fixed point free representation of QL in U(2k+2)Differential GeometryAlgebraic Topology58G25The eta invariant and the real connective K-theory of the classifying space for quaternion groupstext