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Periodicity theorems and conjectures in hermitian K-theory

Published online by Cambridge University Press:  03 September 2009

Max Karoubi
Max Karoubi
Affiliation:
Université Paris Diderot/Paris 7UFR de mathématiques case 7012, 175 rue du Chevaleret, 75205 Paris Cedex 13, France, max.karoubi@gmail.com.
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Abstract

In this appendix to [4], we state a periodicity conjecture using form parameters. This conjecture contains as particular case the fundamental theorem in hermitian K-theory proved in [6] but also some results of Bak [1], Barge and Lannes [2], Sharpe [8], for lower hermitian K-groups. The interest of this conjecture lies also in the parallel use of hermitian forms and quadratic forms with form parameters introduced by Bak.

Keywords

Bott periodicityhermitian formsquadratic formshermitian K-theory
Type
Research Article
Information
Journal of K-Theory , Volume 4 , Issue 1 , August 2009 , pp. 67 - 75
Copyright
Copyright © ISOPP 2009

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References

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