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

Egidio Barrera-Yanez and Peter B. Gilkey

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Submission date: 10. Sep. 2002
Pages: 14
published in: Annals of global analysis and geometry, 23 (2003) 2, p. 173-188 
DOI number (of the published article): 10.1023/A:1022488431610
Bibtex
MSC-Numbers: 58G25
Keywords and phrases: quaternion spherical space form, eta invariant, symplectic k theory, real connective k theory
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Abstract:
We express the real connective K theory groups of the quaternion group of order in terms of the representation theory of by showing where is any fixed point free representation of in U(2k+2).