no. 7
Géométrie et Topologie
The K-theory of the conjugation action
Carlson, Jeffrey D.1
1 Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UK
Comptes Rendus. Mathématique, Tome 359 (2021) no. 7, pp. 795-796

In 1999, Brylinski and Zhang computed the complex equivariant K-theory of the conjugation self-action of a compact, connected Lie group with torsion-free fundamental group. In this note we show it is possible to do so in under a page.

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DOI : 10.5802/crmath.235

Carlson, Jeffrey D. 1

1 Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UK
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Carlson, Jeffrey D. The K-theory of the conjugation action. Comptes Rendus. Mathématique, Tome 359 (2021) no. 7, pp. 795-796. doi: 10.5802/crmath.235

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[3] Fok, Chi-Kwong The Real K-theory of compact Lie groups, SIGMA, Symmetry Integrability Geom. Methods Appl., Volume 10 (2014), 022, 26 pages | MR | Zbl | DOI

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