Poisson-Pinsker factor and infinite measure preserving group actions

Details Poisson-Pinsker factor and infinite measure preserving group actions Poisson-Pinsker factor and infinite measure preserving group actions

2009-09-08

arxiv.org/abs/0909.1425v1

Mathematics

Dynamical Systems

9 pages

Scientific paper

We solve the question of the existence of a Poisson-Pinsker factor for conservative ergodic infinite measure preserving action of a countable amenable group by proving the following dichotomy: either it has totally positive Poisson entropy (and is of zero type), or it possesses a Poisson-Pinsker factor. If G is abelian and the entropy positive, the spectrum is absolutely continuous (Lebesgue countable if G=\mathbb{Z}) on the whole L^{2}-space in the first case and in the orthocomplement of the L^{2}-space of the Poisson-Pinsker factor in the second.

Affiliated with

Also associated with

No associations

Rating

Poisson-Pinsker factor and infinite measure preserving group actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Poisson-Pinsker factor and infinite measure preserving group actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poisson-Pinsker factor and infinite measure preserving group actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-107917