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

E. Barrera-Yanez·P. Gilkey
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Abstract

We 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)

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E. Barrera-Yanez, P. Gilkey. 2002-09-10. The eta invariant and the real connective K-theory of the classifying space for quaternion groups. https://arxiv.org/abs/math/0205084

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