The K-theory of the conjugation action
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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| Format: | Article |
| Language: | English |
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Académie des sciences
2021-09-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.235/ |
| _version_ | 1827785258582409216 |
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| author | Carlson, Jeffrey D. |
| author_facet | Carlson, Jeffrey D. |
| author_sort | Carlson, Jeffrey D. |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T16:16:38Z |
| format | Article |
| id | doaj.art-c73c4b98af434a71ae1e37189f3cedde |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:16:38Z |
| publishDate | 2021-09-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-c73c4b98af434a71ae1e37189f3cedde2023-10-24T14:19:25ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692021-09-01359779579610.5802/crmath.23510.5802/crmath.235The K-theory of the conjugation actionCarlson, Jeffrey D.0Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UKIn 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.235/ |
| spellingShingle | Carlson, Jeffrey D. The K-theory of the conjugation action Comptes Rendus. Mathématique |
| title | The K-theory of the conjugation action |
| title_full | The K-theory of the conjugation action |
| title_fullStr | The K-theory of the conjugation action |
| title_full_unstemmed | The K-theory of the conjugation action |
| title_short | The K-theory of the conjugation action |
| title_sort | k theory of the conjugation action |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.235/ |
| work_keys_str_mv | AT carlsonjeffreyd thektheoryoftheconjugationaction AT carlsonjeffreyd ktheoryoftheconjugationaction |