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Augmenting dimension group invariants for substitution dynamics

Published online by Cambridge University Press:  09 August 2004

TOKE M. CARLSEN  and
SØREN EILERS
TOKE M. CARLSEN
Affiliation:
Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark (e-mail: [email protected], [email protected])
SØREN EILERS
Affiliation:
Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark (e-mail: [email protected], [email protected])
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Abstract

We present new invariants for substitutional dynamical systems. Our main contribution is a flow invariant which is strictly finer than, but related and akin to, the dimension groups of Herman et al. We present this group as a stationary inductive limit of a system associated to an integer matrix defined from combinatorial data based on the class of special words of the dynamical system.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 24 , Issue 4 , August 2004 , pp. 1015 - 1039
Copyright
2004 Cambridge University Press

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