On the K property for Maharam extensions of Bernoulli shifts and a question of Krengel

Zemer Kosloff*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We show that the Maharam extension of a type III, conservative and nonsingular K Bernoulli is a K-transformation. This together with the fact that the Maharam extension of a conservative transformation is conservative gives a negative answer to Krengel’s and Weiss’s questions about existence of a type II or type IIIλ with λ ≠ 1 Bernoulli shift. A conservative non-singular K, in the sense of Silva and Thieullen, Bernoulli shift is either of type II1 or of type III1.

Original languageAmerican English
Pages (from-to)485-506
Number of pages22
JournalIsrael Journal of Mathematics
Volume199
Issue number1
DOIs
StatePublished - 1 Jan 2014
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2014, Hebrew University Magnes Press.

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