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Substitutional dynamical systems, Bratteli diagrams and dimension groups

Year: 2008

Type: preprint

Abstract: The present paper explores substitution minimal systems and their relation to stationary Bratteli diagrams and stationary dimension groups. The constructions involved are algorithmic and explicit, and render an effective method to compute an invariant of (ordered) $K$-theoretic nature for these systems. This new invariant is independent of spectral invariants which have previously been extensively studied. Before we state the main results we give some background.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0807.3621

Authors: Durand, Fabien, Host, Bernard, Skau, Christian

Institutions: Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie Jules Verne, Le LAMA

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6929361967

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