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Kunneth theorems and unstable operations in 2-adic KO-cohomology

Published online by Cambridge University Press:  30 November 2007

A.K. Bousfield
A.K. Bousfield
Affiliation:
bous@uic.eduDepartment of Mathematics, University of Illinois at Chicago, Chicago, Illinois 60607, USA
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Abstract

We develop Kunneth theorems and obtain detailed results on unstable operations in 2-adic KO-cohomology and, more generally, in united 2-adic K-cohomology. These results are needed for work on the K-localizations of spaces at the prime 2 and should be of independent interest. Our proofs of relations for unstable operations rely on Atiyah's Real K-theory and on a convenient mod 2 simplification of 2-adic KO-cohomology.

Keywords

KO-cohomology operationsK-theory operationsKunneth formula2-adic K-theoryunited K-theory
Type
Research Article
Information
Journal of K-Theory , Volume 1 , Issue 3 , June 2008 , pp. 395 - 430
Copyright
Copyright © ISOPP 2008

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