Summary
A simple class of not local rank one, loosely Bernoulli transformations is constructed. These examples have simple spectra. It is studied when inverse limits of local rank one transformations are again of local rank one.
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Lemańczyk, M., Sikorski, A. A class of not local rank one automorphisms arising from continuous substitutions. Probab. Th. Rel. Fields 76, 421–428 (1987). https://doi.org/10.1007/BF00960066
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DOI: https://doi.org/10.1007/BF00960066