Self Duality and Codings for Expansive Group Automorphisms

Details Self Duality and Codings for Expansive Group Automorphisms Self Duality and Codings for Expansive Group Automorphisms

2005-01-26

arxiv.org/abs/math/0501469v1

Mathematics

Dynamical Systems

Scientific paper

Lind and Schmidt have shown that the homoclinic group of a cyclic $\Z^k$ algebraic dynamical system is isomorphic to the dual of the phase group. We show that this duality result is part of an exact sequence if $k=1$. The exact sequence is a well known algebraic object, which has been applied by Schmidt in his work on rigidity. We show that it can be derived from dynamical considerations only. The constructions naturally lead to an almost 1-1-coding of certain Pisot automorphisms by their associated $\beta$-shift, generalizing similar results for Pisot automorphisms of the torus.

Affiliated with

Also associated with

No associations

Rating

Self Duality and Codings for Expansive Group Automorphisms 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 Self Duality and Codings for Expansive Group Automorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self Duality and Codings for Expansive Group Automorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-627859