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Augmented dimension groups and ordered cohomology

Published online by Cambridge University Press:  01 February 2009

MARCY BARGE  and
MEGAN SMITH
MARCY BARGE
Affiliation:
Department of Mathematics, Montana State University, Bozeman, MT 59717, USA (email: [email protected])
MEGAN SMITH
Affiliation:
Department of Mathematics, Montana State University, Bozeman, MT 59717, USA (email: [email protected])
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Abstract

We show that the ordered Matsumoto K0-group of a substitutive system is derivable from the ordered Čech cohomology of a simple ‘augmentation’ of the tiling space associated with the substitution. Besides supplying a topological interpretation of the Matsumoto K0-group, this leads to finer invariants of the flow equivalence class of a substitutive system.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 29 , Issue 1 , February 2009 , pp. 1 - 35
Copyright
Copyright © 2008 Cambridge University Press

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