Algebraic actions of the discrete Heisenberg group: Expansiveness and homoclinic points

Martin Goll*, Klaus Schmidt, Evgeny Verbitskiy

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

4 Citaten (Scopus)
116 Downloads (Pure)

Samenvatting

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.

Originele taal-2English
Pagina's (van-tot)713-744
Aantal pagina's32
TijdschriftIndagationes mathematicae-New series
Volume25
Nummer van het tijdschrift4
DOI's
StatusPublished - 27-jun-2014

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