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Hermitian periodicity and cohomology of infinite orthogonal groups

Published online by Cambridge University Press:  23 May 2013

A. J. Berrick ,
M. Karoubi  and
P. A. Østvær
A. J. Berrick
Affiliation:
Department of Mathematics, National University of Singapore and Yale-NUS College, Singaporeberrick@math.nus.edu.sg, jon.berrick@yale-nus.edu.sg
M. Karoubi
Affiliation:
UFR de Mathématiques, Université Paris 7, Francemax.karoubi@gmail.com
P. A. Østvær
Affiliation:
Department of Mathematics, University of Oslo, Norwaypaularne@math.uio.no
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Abstract

As an application of our papers in hermitian K-theory, in favourable cases we prove the periodicity of hermitian K-groups with a shorter period than previously obtained. We also compute the homology and cohomology with field coeffcients of infinite orthogonal and symplectic groups of specific rings of integers in a number field.

Keywords

Periodicityhermitian K-theorygroup cohomology19D50
Type
Research Article
Information
Journal of K-Theory , Volume 12 , Issue 1: Nanjing Special Issue on K-theory, number theory and geometry , August 2013 , pp. 203 - 211
Copyright
Copyright © ISOPP 2013 

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