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Feb 13, 2012 at 4:49 comment added Vaughn Climenhaga I'm delighted to see those notes being useful! @Stéphane: I've taken the liberty of fleshing out the consequences of your comments in another answer, as much to remind myself of the details of this as anything else.
Feb 12, 2012 at 15:42 comment added Jon Bannon Great! I'm glad I could help.
Feb 12, 2012 at 15:30 vote accept Stéphane Laurent
Feb 13, 2012 at 8:40
Feb 12, 2012 at 15:30 comment added Stéphane Laurent Thanks, very nice notes ! I believe these notes provide all the answers to my questions. If I well understand, the argument which shows that the orbit partition of an ergodic $T$ is nonmeasurable can be applied to see that ergodicity is not a necessary condition for nonmeasurability: whenever a nonergodic $T$ has more than one orbit in an ergodic component, its orbit partition is nonmeasurable.
Feb 12, 2012 at 15:03 history edited Jon Bannon CC BY-SA 3.0
added 23 characters in body; added 5 characters in body; added 7 characters in body; added 217 characters in body
Feb 12, 2012 at 14:54 history answered Jon Bannon CC BY-SA 3.0