An example of type III$_0$ cocycle without unbounded gaps of an ergodic probability measure preserving transformation will be shown.
@article{118798, author = {Toshihiro Hamachi}, title = {Type $\text{III}\_0$ cocycles without unbounded gaps}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {36}, year = {1995}, pages = {713-720}, zbl = {0851.28009}, mrnumber = {1378692}, language = {en}, url = {http://dml.mathdoc.fr/item/118798} }
Hamachi, Toshihiro. Type $\text{III}_0$ cocycles without unbounded gaps. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 713-720. http://gdmltest.u-ga.fr/item/118798/
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