Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672989 | Indagationes Mathematicae | 2014 | 32 Pages |
Abstract
We survey some of the known criteria for expansiveness of principal algebraic actions of countably infinite discrete groups. In the special case of the discrete Heisenberg group we propose a new approach to this problem based on Allan’s local principle.Furthermore, we present a first example of an absolutely summable homoclinic point for a nonexpansive action of the discrete Heisenberg group and use it to construct an equal-entropy symbolic cover of the system.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Martin Göll, Klaus Schmidt, Evgeny Verbitskiy,