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Positive K-theory for finitary isomorphisms of Markov chains

Published online by Cambridge University Press:  23 September 2003

RICARDO GÓMEZ
RICARDO GÓMEZ
Affiliation:
Instituto de Matemáticas, Area de la Investigación Científica, Circuito Exterior, Ciudad Universitaria, México DF 04510, México (e-mail: rgomez@math.unam.mx)
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Abstract

We use matrices over formal power series to represent irreducible and positive recurrent Markov chains and identify a natural class of good finitary isomorphisms (magic word isomorphisms) as those arising from elementary matrix operations. This extends the positive K-theory framework which has been used for other classification problems in symbolic dynamics.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 5 , October 2003 , pp. 1485 - 1504
Copyright
2003 Cambridge University Press

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