On the Cohomology of Actions of Groups by Bernoulli Shifts
| dc.creator | Popa, Sorin | |
| dc.creator | Sasyk, Roman | |
| dc.date | 2003-10-15 | |
| dc.date | 2003-12-19 | |
| dc.date.accessioned | 2026-07-07T05:01:54Z | |
| dc.date.available | 2026-07-07T05:01:54Z | |
| dc.description | We prove that if $G$ is a countable, discrete group having infinite, normal subgroups with the relative property (T), then the Bernoulli shift action of $G$ on ${\underset g \in G \to Π} (X_0, μ_0)_g$ for $(X_{0},μ_{0})$ an arbitrary probability space, has first cohomology group isomorphic to the character group of $G$. | |
| dc.description | 9 pages; some corrections in Lemma 3.2 (Dec. 18, 2003), 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310211 | |
| dc.identifier | http://arxiv.org/abs/math/0310211 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68853 | |
| dc.subject | Operator Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 46L10 (Primary) 22D40, 28D05, 28D15 (Secondary) | |
| dc.title | On the Cohomology of Actions of Groups by Bernoulli Shifts | |
| dc.type | text |