Twisted Burnside-Frobenius theory for discrete groups
| dc.creator | Fel'shtyn, Alexander | |
| dc.creator | Troitsky, Evgenij | |
| dc.date | 2006-06-08 | |
| dc.date | 2006-12-13 | |
| dc.date.accessioned | 2026-07-07T06:43:10Z | |
| dc.date.available | 2026-07-07T06:43:10Z | |
| dc.description | For a wide class of groups including polycyclic and finitely generated polynomial growth groups it is proved that the Reidemeister number of an automorphism f is equal to the number of finite-dimensional fixed points of the induced map f^ on the unitary dual, if one of these numbers is finite. This theorem is a natural generalization of the classical Burnside-Frobenius theorem to infinite groups. This theorem also has important consequences in topological dynamics and in some sense is a reply to a remark of J.-P. Serre. The main technical results proved in the paper yield a tool for a further progress. | |
| dc.description | 17 pages, no figures, v2: some small improvements using referee's suggestions | |
| dc.identifier | https://arxiv.org/abs/math/0606179 | |
| dc.identifier | http://arxiv.org/abs/math/0606179 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102315 | |
| dc.subject | Group Theory | |
| dc.subject | Number Theory | |
| dc.subject | Operator Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 20Cxx; 20E45; 22D10; 22D25; 43A30; 46Lxx; 37C25; 54H25 | |
| dc.title | Twisted Burnside-Frobenius theory for discrete groups | |
| dc.type | text |