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Core dimension group constraints for factors of sofic shifts

Published online by Cambridge University Press:  19 September 2008

Paul Trow  and
Susan Williams
Paul Trow
Affiliation:
Department of Mathematical Sciences, Memphis State University, Memphis, Tennessee 38152, USA
Susan Williams
Affiliation:
Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama 36688, USA
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Abstract

We give constraints on the existence of factor maps between sofic shifts. These constraints yield examples of sofic shifts of entropy log n which do not factor onto the full n-shift. We also show that any prime which divides the degree of an endomorphism of a sofic shift must divide the non-leading coefficients of the characteristic polynomial of the core matrix of the shift.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 13 , Issue 1 , March 1993 , pp. 213 - 224
Copyright
Copyright © Cambridge University Press 1993

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