Unbounded gaps for cocycles and invariant measures for their Mackey actions

Lemańczyk, Mariusz; Sinel’shchikov, Sergey

doi:10.1090/S0002-9939-98-04121-5

Unbounded gaps for cocycles and invariant measures for their Mackey actions
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by Mariusz Lemańczyk and Sergey D. Sinel’shchikov PDF

Proc. Amer. Math. Soc. 126 (1998), 815-818 Request permission

Abstract:

We show that for a class of type $\mathrm {III}_0$-cocycles over a $\mathbb Z$-action of type $\mathrm {II}_1$ its Mackey action must change the type.

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