Algebraic actions of the discrete Heisenberg group: Expansiveness and homoclinic pointsGoll, M., Schmidt, K. & Verbitskiy, E., 27-Jun-2014, In : Indagationes mathematicae-New series. 25, 4, p. 713-744 32 p.
Research output: Contribution to journal › Article › Academic › peer-review
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. (C) 2014 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
|Number of pages||32|
|Journal||Indagationes mathematicae-New series|
|Publication status||Published - 27-Jun-2014|
- Expansiveness, Homoclinic points, Algebraic action, Symbolic covers, PERIODIC POINTS, Z(D)-ACTIONS, ENTROPY