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Comptes Rendus Mathématique
Volume 347, n° 23-24
pages 1403-1407 (décembre 2009)
Doi : 10.1016/j.crma.2009.10.020
Received : 10 October 2008 ;  accepted : 27 October 2009
Rigidity for equivariant K -theory
Théorèmes de rigidité classiques pour la K -théorie
 

Serge Yagunov a, b , Paul Arne Østvær c
a Steklov Mathematical Institute, St. Petersburg, Russia 
b Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany 
c Department of Mathematics, University of Oslo, Oslo, Norway 

Abstract

We extend the classical rigidity results for K -theory to the equivariant setting of linear algebraic group actions. These results concern rigidity for rational points, field extensions, and Hensel local rings. To cite this article: S. Yagunov, P.A. Østvær, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
Résumé

Nous étendons les théorèmes de rigidité classiques pour la K -théorie au cadre équivariant de actions des groupes algébriques linéaire. Ces résultats concernent la rigidité pour les points rationels, les extensions de corps et les anneaux locaux henséliens. Pour citer cet article : S. Yagunov, P.A. Østvær, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.


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