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Lattice invariants for sofic shifts

Published online by Cambridge University Press:  19 September 2008

Susan Williams
Susan Williams
Affiliation:
Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama 36688, USA
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Abstract

To a factor map φ from an irreducible shift of finite type ΣA to a sofic shift S, we associate a subgroup of the dimension group (GA, Â) which is an invariant of eventual conjugacy for φ. This invariant yields new necessary conditions for the existence of factor maps between equal entropy sofic shifts.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 11 , Issue 4 , December 1991 , pp. 787 - 801
Copyright
Copyright © Cambridge University Press 1991

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