Comptes Rendus
no. 23-24
Algebraic Geometry/Topology
Rigidity for equivariant K-theory
[Théorèmes de rigidité classiques pour la K-théorie]

Présenté par : Christophe Soulé

Serge Yagunov1, 2 ; Paul Arne Østvær3
1 Steklov Mathematical Institute, St. Petersburg, Russia
2 Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany
3 Department of Mathematics, University of Oslo, Oslo, Norway
Comptes Rendus. Mathématique, Volume 347 (2009) no. 23-24, pp. 1403-1407.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.10.020
Serge Yagunov 1, 2 ; Paul Arne Østvær 3

1 Steklov Mathematical Institute, St. Petersburg, Russia
2 Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany
3 Department of Mathematics, University of Oslo, Oslo, Norway 
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Serge Yagunov; Paul Arne Østvær. Rigidity for equivariant K-theory. Comptes Rendus. Mathématique, Volume 347 (2009) no. 23-24, pp. 1403-1407. doi : 10.1016/j.crma.2009.10.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.10.020/

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