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.References
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Additional Information
- Mariusz Lemańczyk
- Affiliation: Department of Mathematics and Computer Science, Nicholas Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland
- MR Author ID: 112360
- Email: mlem@mat.uni.torun.pl
- Sergey D. Sinel’shchikov
- Affiliation: Institute for Low Temperature Physics and Engineering, 47 Lenin Avenue, 310164 Kharkov, Ukraine
- Email: sinelshchikov@ilt.kharkov.ua
- Received by editor(s): January 9, 1996
- Received by editor(s) in revised form: September 7, 1996
- Additional Notes: The first author’s research was partly supported by KBN grant 2 P301 031 07 (1994)
- Communicated by: Mary Rees
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 815-818
- MSC (1991): Primary 28D05, 28D10
- DOI: https://doi.org/10.1090/S0002-9939-98-04121-5
- MathSciNet review: 1423313