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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Unbounded gaps for cocycles
and invariant measures for their Mackey actions


Authors: Mariusz Lemanczyk and Sergey D. Sinel'shchikov
Journal: Proc. Amer. Math. Soc. 126 (1998), 815-818
MSC (1991): Primary 28D05, 28D10
MathSciNet review: 1423313
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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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Additional Information

Mariusz Lemanczyk
Affiliation: Department of Mathematics and Computer Science, Nicholas Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland
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

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04121-5
PII: S 0002-9939(98)04121-5
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
Article copyright: © Copyright 1998 American Mathematical Society