Actions of semisimple Lie groups on circle bundles
| dc.creator | Witte, Dave | |
| dc.creator | Zimmer, Robert J. | |
| dc.date | 2000-04-10 | |
| dc.date.accessioned | 2026-07-07T04:34:41Z | |
| dc.date.available | 2026-07-07T04:34:41Z | |
| dc.description | Suppose G is a connected, simple, real Lie group with real rank at least two, M is an ergodic G-space with invariant probability measure, and f is a Homeo(T)-valued Borel cocycle, where Homeo(T) denotes the group of homeomorphisms of the circle T. We use an argument of E.Ghys to show that there is a G-invariant probability measure on the skew product of M and T. Furthermore, if the image of f consists of diffeomorphisms, then there is an invariant measure that is equivalent to the product measure; therefore, f is cohomologous to a cocycle with values in the isometry group of T. | |
| dc.description | 29 pages. Latex2e file requires style files from Kluwer Academic Publishers: http://www.wkap.nl/kapis/stylefiles/kluwer.zip | |
| dc.identifier | https://arxiv.org/abs/math/0004057 | |
| dc.identifier | http://arxiv.org/abs/math/0004057 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58998 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Representation Theory | |
| dc.subject | 22F10 (Primary) 28D15, 37A20 (Secondary) | |
| dc.title | Actions of semisimple Lie groups on circle bundles | |
| dc.type | text |