Bruner–Greenlees conjecture on real connective K theory of generalized quaternion groups

We prove the Bruner–Greenlees conjecture on equivariant real connective K-cohomology for generalized quaternion groups. We make the ring structure and the γ-filtration explicit. We also deduce the additive structure of the corresponding connective real K-homology.

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Bibliographic Details
Published in:Topology and its applications 2014-02, Vol.162, p.116-133
Main Author: Rodtes, Kijti
Format: Article
Language:English
Subjects:
Bruner–Greenlees conjecture
Equivariant real connective K-cohomology
Generalized quaternion groups
Real K-homology
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Description
Summary:We prove the Bruner–Greenlees conjecture on equivariant real connective K-cohomology for generalized quaternion groups. We make the ring structure and the γ-filtration explicit. We also deduce the additive structure of the corresponding connective real K-homology.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2013.12.001