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Strong shift equivalence of 2 by 2 non-negative integral matrices

Part of: Measure-theoretic ergodic theory

Published online by Cambridge University Press:  26 February 2010

Geon Ho Choe  and
Sujin Shin
Geon Ho Choe
Affiliation:
Department of Mathematics, Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea, e-maii: choet@euclid.kaist.ac.kr
Sujin Shin
Affiliation:
Department of Mathematics, Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea
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Abstract

It is known that if A and B are nontriangular 2 × 2 non-negative integral matrices similar over the integers and –tr A ≤det A, then A and B are strongly shift equivalent. Suppose that A and B are 2 × 2 non-negative integral matrices similar over the integers. In this article it is shown that if –2 tr A≤det A <– tr A and if | det A | is not a prime, then A and B are strongly shift equivalent.

MSC classification

Secondary: 28D05: Measure-preserving transformations
Type
Research Article
Information
Mathematika , Volume 44 , Issue 2 , December 1997 , pp. 302 - 312
Copyright
Copyright © University College London 1997

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