Some new results on the Chu duality of discrete groups
| dc.creator | Hernández, Salvador | |
| dc.creator | Wu, Ta-Sun | |
| dc.date | 2005-09-21 | |
| dc.date.accessioned | 2026-07-07T06:18:31Z | |
| dc.date.available | 2026-07-07T06:18:31Z | |
| dc.description | This paper deals mainly with the Chu duality of discrete groups. Among other results, we give sufficient conditions for an $FC$ group to satisfy Chu duality and characterize when the Chu quasi-dual and the Takahashi quasi-dual of a group $G$ coincide. As a consequence, it follows that when $G$ is a weak sum of a family of finite simple groups, if the exponent of the groups in the family is bounded then $G$ satisfies Chu duality; on the other hand, if the exponent of the groups goes to infinite then the Chu quasi-dual of $G$ coincide with its Takahashi quasi-dual. We also present examples of discrete groups whose Chu quasi-duals are not locally compact and examples of discrete Chu reflexive groups which contain non-trivial sequences converging in the Bohr topology of the groups. Our results systematize some previous work and answer some open questions in the subject. | |
| dc.identifier | https://arxiv.org/abs/math/0509467 | |
| dc.identifier | http://arxiv.org/abs/math/0509467 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94763 | |
| dc.subject | General Topology | |
| dc.subject | Group Theory | |
| dc.subject | Primary 22D35, 43A40; Secondary 22D05, 22D10, 54H11 | |
| dc.title | Some new results on the Chu duality of discrete groups | |
| dc.type | text |