On the cohomology of Bernoulli actions

• Autores: Sorin Popa, Román Sasyk
• Localización: Ergodic theory and dynamical systems, ISSN 0143-3857, Vol. 27, Nº 1, 2007, págs. 241-251
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove that if $G$ is a countable, discrete group having infinite normal subgroups with the relative property (T) of Kazhdan¿Margulis, then the Bernoulli shift action of $G$ on $\prod_{g \in G} (X_0, \mu_0)_g$, for $(X_{0},\mu_{0})$ an arbitrary non-trivial probability space, has first cohomology group isomorphic to the character group of $G$.