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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: toke@math.ku.dk, eilers@math.ku.dk)
SØREN EILERS
Affiliation:
Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark (e-mail: toke@math.ku.dk, eilers@math.ku.dk)
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Abstract

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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.

Information

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