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Resolving factor maps for shifts of finite type with equal entropy

Published online by Cambridge University Press:  19 September 2008

Jonathan Ashley
Affiliation:
University of Washington, Seattle, Washington 98195, USA

Abstract

We sharpen a result of Boyle, Marcus and Trow as follows. An aperiodic shift of finite type ΣA factors onto another ΣB with equal entropy by a 1-to-l almost everywhere right-closing map if and only if (1) the dimension group for ΣB is a quotient of that for ΣA; and (2) ΣA and ΣB satisfy the trivial periodic point condition for existence of a shift-commuting map from ΣA to ΣB.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1991

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References

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