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Point spectrum of ergodic abelian group actions and the corresponding group-measure factors

Point spectrum of ergodic abelian group actions and the corresponding group-measure factors

In this paper a study of certain conjugacy invariants of ergodic actions of countable discrete groups which appear in the analysis of the associated group measure factors is begun.In particular a certain maximal abelian subalgebra S of the factor associated to the free ergodic measure-preserving action of a countable abelian …