Set of invariant measures of generalized Toeplitz subshifts

Details Set of invariant measures of generalized Toeplitz subshifts Set of invariant measures of generalized Toeplitz subshifts

2011-06-21

arxiv.org/abs/1106.4280v1

Mathematics

Dynamical Systems

20 pages

Scientific paper

We show that for every metrizable Choquet simplex $K$ and for every group $G$, which is amenable, finitely generated and residually finite, there exists a Toeplitz $G$-subshift whose set of shift-invariant probability measures is affine homeomorphic to $K$. Furthermore, we get that for every integer $d\geq 1$ and every minimal Cantor system $(X,T)$ whose dimension group is divisible, there exists a minimal Toeplitz ${\mathbb Z}^d$-subshift which is topologically orbit equivalent to $(X,T)$.

Affiliated with

Also associated with

No associations

Rating

Set of invariant measures of generalized Toeplitz subshifts 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 Set of invariant measures of generalized Toeplitz subshifts, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Set of invariant measures of generalized Toeplitz subshifts will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-179569