Rigidity for equivariant <i>K</i>-theory

Serge Yagunov; Paul Arne Østvær

doi:10.1016/j.crma.2009.10.020

Algebraic Geometry/Topology

Rigidity for equivariant K-theory
[Théorèmes de rigidité classiques pour la K-théorie]

Présenté par : Christophe Soulé

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

Comptes Rendus. Mathématique, Volume 347 (2009) no. 23-24, pp. 1403-1407.

Résumé
Abstract

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 : 2008-10-10
Accepté le : 2009-10-27
Publié le : 2009-11-07

DOI : 10.1016/j.crma.2009.10.020

Affiliations des auteurs :

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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     author = {Serge Yagunov and Paul Arne {\O}stv{\ae}r},
     title = {Rigidity for equivariant {\protect\emph{K}-theory}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1403--1407},
     publisher = {Elsevier},
     volume = {347},
     number = {23-24},
     year = {2009},
     doi = {10.1016/j.crma.2009.10.020},
     language = {en},
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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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