Cohomology of Hopf $C^*$-algebras and Hopf von Neumann algebras
| dc.creator | Ng, Chi-Keung | |
| dc.date | 2001-01-08 | |
| dc.date | 2003-12-03 | |
| dc.date.accessioned | 2026-07-07T04:39:33Z | |
| dc.date.available | 2026-07-07T04:39:33Z | |
| dc.description | In this article, we will define two canonical cohomology theories for Hopf $C^*$-algebras and for Hopf von Neumann algebras (with coefficients in their bicomodules). We will then study the situations when these cohomologies vanish. The cases of locally compact groups and compact quantum groups will be considered in more details. | |
| dc.description | The first statement of Remark 1.9(a) in the original published article (in Proc. LMS) does not follow directly from Lemma 1.7(a) but it does follow very easily from the argument of Proposition 1.10. Therefore, we change the presentations of Remark 1.9 and Proposition 1.10 (one line is added in the proof of Proposition 1.10) | |
| dc.identifier | https://arxiv.org/abs/math/0101060 | |
| dc.identifier | http://arxiv.org/abs/math/0101060 | |
| dc.identifier | Proc. London Math. Soc. (3) 83 (2001) 708-742 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60712 | |
| dc.subject | Operator Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 46L55, 46L05 (Primary) 43A07, 22D25 (Secondary) | |
| dc.title | Cohomology of Hopf $C^*$-algebras and Hopf von Neumann algebras | |
| dc.type | text |