Voigt, C. and Yuncken, R. (2023) The Plancherel formula for complex semisimple quantum groups. Annales Scientifiques de l'École Normale Supérieure, 56(1), pp. 299-322. (doi: 10.24033/asens.2535)
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Abstract
We calculate the Plancherel formula for complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. As a consequence we obtain a concrete description of their associated reduced group C∗-algebras. The main ingredients in our proof are the Bernstein-Gelfand-Gelfand complex and the Hopf trace formula.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Voigt, Professor Christian |
| Authors: | Voigt, C., and Yuncken, R. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Annales Scientifiques de l'École Normale Supérieure |
| Publisher: | Societe Mathematique de France |
| ISSN: | 0012-9593 |
| ISSN (Online): | 1873-2151 |
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