ON THE COHOMOLOGY OF ACTIONS OF GROUPS BY BERNOULLI SHIFTS by SORIN POPA* and ROMAN SASYK

نویسنده

  • ROMAN SASYK
چکیده

We prove that if G is a countable, discrete group having infinite, normal subgroups with the relative property (T), then the Bernoulli shift action ofG on Π g∈G (X0, μ0)g for (X0, μ0) an arbitrary probability space, has first cohomology group isomorphic to the character group of G.

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تاریخ انتشار 2008