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

E. Barrera-Yanez; P. Gilkey

paper

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

arXiv:math/0205084

Abstract

We express the real connective $K$ theory groups of the quaternion QL group of order $2^{j} \geq 8$ in terms of the representation theory of by showing $k o_{4 k - 1} (B Q L) = K S p (S^{4 k + 3} / τ Q L)$ where $t a u$ is any fixed point free representation of QL in U(2k+2)